
@article{Boucksom2004,
  author = {Boucksom, S{\'e}bastien},
  title = {Divisorial {Zariski} decompositions on compact complex manifolds},
  journal = {Annales scientifiques de l'{\'E}cole Normale Sup{\'e}rieure},
  series = {4},
  volume = {37},
  number = {1},
  year = {2004},
  pages = {45--76},
  doi = {10.1016/j.ansens.2003.04.002},
  url = {https://numdam.org/articles/10.1016/j.ansens.2003.04.002/}
}

@article{DemaillyPaun2004,
  author = {Demailly, Jean-Pierre and P{\u a}un, Mihai},
  title = {Numerical characterization of the {K{\"a}hler} cone of a compact {K{\"a}hler} manifold},
  journal = {Annals of Mathematics},
  series = {2},
  volume = {159},
  number = {3},
  year = {2004},
  pages = {1247--1274},
  doi = {10.4007/annals.2004.159.1247},
  url = {https://annals.math.princeton.edu/2004/159-3/p05}
}

@misc{Ou2025,
  author = {Ou, Wenhao},
  title = {A characterization of uniruled compact {K{\"a}hler} manifolds},
  year = {2025},
  eprint = {2501.18088},
  archivePrefix = {arXiv},
  primaryClass = {math.AG},
  note = {arXiv:2501.18088v1},
  url = {https://arxiv.org/abs/2501.18088v1}
}

@misc{Vu2023,
  author = {Vu, Duc-Viet},
  title = {Derivative of volumes of big cohomology classes},
  year = {2023},
  eprint = {2307.15909},
  archivePrefix = {arXiv},
  primaryClass = {math.AG},
  note = {arXiv:2307.15909v1},
  url = {https://arxiv.org/abs/2307.15909v1}
}

@article{CollinsTosatti2018,
  author = {Collins, Tristan C. and Tosatti, Valentino},
  title = {Restricted volumes on {K{\"a}hler} manifolds},
  journal = {Annales de la Facult{\'e} des sciences de Toulouse: Math{\'e}matiques},
  series = {6},
  volume = {31},
  number = {3},
  year = {2022},
  pages = {907--947},
  doi = {10.5802/afst.1708},
  eprint = {1608.07089},
  archivePrefix = {arXiv},
  url = {https://www.numdam.org/articles/10.5802/afst.1708/}
}

@article{LevyGRR,
  author = {Levy, Roni N.},
  title = {The {Riemann--Roch} theorem for complex spaces},
  journal = {Acta Mathematica},
  volume = {158},
  year = {1987},
  pages = {149--188},
  doi = {10.1007/BF02392258},
  url = {https://link.springer.com/article/10.1007/BF02392258}
}

@misc{SaitoKahler,
  author = {Saito, Morihiko},
  title = {Some remarks on decomposition theorem for proper {K{\"a}hler} morphisms},
  year = {2022},
  eprint = {2204.09026},
  archivePrefix = {arXiv},
  primaryClass = {math.AG},
  note = {arXiv:2204.09026v5},
  url = {https://arxiv.org/abs/2204.09026v5}
}

@misc{SabbahSchnell,
  author = {Sabbah, Claude and Schnell, Christian},
  title = {Pure complex {Hodge} modules},
  howpublished = {The {MHM} Project, Version 2},
  note = {Online manuscript, Chapter 16; accessed October 4, 2026},
  url = {https://perso.pages.math.cnrs.fr/users/claude.sabbah/MHMProject/mhm.html}
}

@article{BGL,
  author = {Bakker, Benjamin and Guenancia, Henri and Lehn, Christian},
  title = {Algebraic approximation and the decomposition theorem for {K{\"a}hler} {Calabi--Yau} varieties},
  journal = {Inventiones mathematicae},
  volume = {228},
  year = {2022},
  pages = {1255--1308},
  doi = {10.1007/s00222-022-01096-y},
  eprint = {2012.00441},
  archivePrefix = {arXiv},
  url = {https://link.springer.com/article/10.1007/s00222-022-01096-y}
}

@article{BakkerLehn,
  author = {Bakker, Benjamin and Lehn, Christian},
  title = {The global moduli theory of symplectic varieties},
  journal = {Journal f{\"u}r die reine und angewandte Mathematik},
  volume = {790},
  year = {2022},
  pages = {223--265},
  doi = {10.1515/crelle-2022-0033},
  eprint = {1812.09748},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/1812.09748v4}
}

@article{FujinoMatsumura,
  author = {Fujino, Osamu and Matsumura, Shin-ichi},
  title = {Injectivity theorem for pseudo-effective line bundles and its applications},
  journal = {Transactions of the American Mathematical Society, Series B},
  volume = {8},
  year = {2021},
  pages = {849--884},
  doi = {10.1090/btran/86},
  eprint = {1605.02284},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/1605.02284v3}
}

@misc{Campana2026,
  author = {Campana, Fr{\'e}d{\'e}ric Bruno},
  title = {Bogomolov decomposition and compact {K{\"a}hler} manifolds of algebraic dimension zero},
  year = {2026},
  eprint = {2605.19713},
  archivePrefix = {arXiv},
  primaryClass = {math.AG},
  note = {arXiv:2605.19713v2},
  url = {https://arxiv.org/abs/2605.19713v2}
}

@article{BDPP,
  author = {Boucksom, S{\'e}bastien and Demailly, Jean-Pierre and P{\u a}un, Mihai and Peternell, Thomas},
  title = {The pseudo-effective cone of a compact {K{\"a}hler} manifold and varieties of negative {Kodaira} dimension},
  journal = {Journal of Algebraic Geometry},
  volume = {22},
  number = {2},
  year = {2013},
  pages = {201--248},
  doi = {10.1090/S1056-3911-2012-00574-8},
  eprint = {math/0405285},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/math/0405285}
}

@article{FujinoGongyo2014,
  author = {Fujino, Osamu and Gongyo, Yoshinori},
  title = {Log pluricanonical representations and the abundance conjecture},
  journal = {Compositio Mathematica},
  volume = {150},
  number = {4},
  year = {2014},
  pages = {593--620},
  doi = {10.1112/S0010437X13007495},
  eprint = {1104.0361},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/1104.0361}
}

@article{GriffithsSchmid1969,
  author = {Griffiths, Phillip A. and Schmid, Wilfried},
  title = {Locally homogeneous complex manifolds},
  journal = {Acta Mathematica},
  volume = {123},
  year = {1969},
  pages = {253--302},
  doi = {10.1007/BF02392390},
  url = {https://publications.ias.edu/node/184}
}

@article{Artin1968,
  author = {Artin, Michael},
  title = {On the solutions of analytic equations},
  journal = {Inventiones mathematicae},
  volume = {5},
  number = {4},
  year = {1968},
  pages = {277--291},
  doi = {10.1007/BF01389777},
  url = {https://link.springer.com/article/10.1007/BF01389777}
}

@article{Fujiki1978,
  author = {Fujiki, Akira},
  title = {Closedness of the {Douady} spaces of compact {K{\"a}hler} spaces},
  journal = {Publications of the Research Institute for Mathematical Sciences},
  volume = {14},
  number = {1},
  year = {1978},
  pages = {1--52},
  doi = {10.2977/prims/1195189279},
  url = {https://ems.press/journals/prims/articles/2878}
}

@article{Fujiki1982,
  author = {Fujiki, Akira},
  title = {On the {Douady} space of a compact complex space in the category {$\mathcal C$}},
  journal = {Nagoya Mathematical Journal},
  volume = {85},
  year = {1982},
  pages = {189--211},
  doi = {10.1017/S002776300001970X},
  url = {https://www.cambridge.org/core/journals/nagoya-mathematical-journal/article/B337182621A918C3F24BD75D1DA52773}
}

@misc{HX,
  author = {Hacon, Christopher and Xie, Lingyao},
  title = {On the {K{\"a}hler} {MMP} and the transcendental base-point-free theorem},
  year = {2026},
  eprint = {2607.24986},
  archivePrefix = {arXiv},
  primaryClass = {math.AG},
  note = {arXiv:2607.24986v1},
  doi = {10.48550/arXiv.2607.24986},
  url = {https://arxiv.org/abs/2607.24986v1}
}

@misc{HLX,
  author = {Hacon, Christopher and Li, Yi and Xie, Lingyao},
  title = {{Fujiki} class {$\mathcal C$} varieties and a {K{\"a}hler} criterion},
  year = {2026},
  eprint = {2608.20588},
  archivePrefix = {arXiv},
  primaryClass = {math.AG},
  note = {arXiv:2608.20588v1},
  doi = {10.48550/arXiv.2608.20588},
  url = {https://arxiv.org/abs/2608.20588v1}
}

@article{DHP,
  author = {Das, Omprokash and Hacon, Christopher and P{\u a}un, Mihai},
  title = {On the $4$-dimensional minimal model program for {K{\"a}hler} varieties},
  journal = {Advances in Mathematics},
  volume = {443},
  year = {2024},
  pages = {109615},
  doi = {10.1016/j.aim.2024.109615},
  eprint = {2205.12205},
  archivePrefix = {arXiv},
  note = {arXiv:2205.12205v3},
  url = {https://arxiv.org/abs/2205.12205v3}
}

@misc{FujinoAnalyticBCHM,
  author = {Fujino, Osamu},
  title = {Minimal model program for projective morphisms between complex analytic spaces},
  year = {2022},
  eprint = {2201.11315},
  archivePrefix = {arXiv},
  primaryClass = {math.AG},
  note = {arXiv:2201.11315v1},
  doi = {10.48550/arXiv.2201.11315},
  url = {https://arxiv.org/abs/2201.11315v1}
}

@article{FujinoVanishing2025,
  author = {Fujino, Osamu},
  title = {Vanishing theorems for projective morphisms between complex analytic spaces},
  journal = {Mathematical Research Letters},
  volume = {32},
  number = {3},
  year = {2025},
  pages = {739--769},
  eprint = {2205.14801},
  archivePrefix = {arXiv},
  note = {arXiv:2205.14801v7},
  url = {https://arxiv.org/abs/2205.14801v7}
}

@article{TsakanikasXie,
  author = {Tsakanikas, Nikolaos and Xie, Lingyao},
  title = {Remarks on the existence of minimal models of log canonical generalized pairs},
  journal = {Mathematische Zeitschrift},
  volume = {307},
  year = {2024},
  note = {Article 20; arXiv:2301.09186v3},
  doi = {10.1007/s00209-024-03489-6},
  eprint = {2301.09186},
  archivePrefix = {arXiv},
  url = {https://link.springer.com/article/10.1007/s00209-024-03489-6}
}

@article{HanLi,
  author = {Han, Jingjun and Li, Zhan},
  title = {Weak {Zariski} decompositions and log terminal models for generalized pairs},
  journal = {Mathematische Zeitschrift},
  volume = {302},
  number = {2},
  year = {2022},
  pages = {707--741},
  doi = {10.1007/s00209-022-03073-w},
  eprint = {1806.01234},
  archivePrefix = {arXiv},
  note = {Numbered citations refer to arXiv:1806.01234v2},
  url = {https://arxiv.org/abs/1806.01234v2}
}

@misc{Xie2022,
  author = {Xie, Lingyao},
  title = {Contraction theorem for generalized pairs},
  year = {2022},
  eprint = {2211.10800},
  archivePrefix = {arXiv},
  primaryClass = {math.AG},
  note = {arXiv:2211.10800v1},
  url = {https://arxiv.org/abs/2211.10800v1}
}

@article{DinhNguyen,
  author = {Dinh, Tien-Cuong and Nguyen, Viet-Anh},
  title = {The mixed {Hodge--Riemann} bilinear relations for compact {K{\"a}hler} manifolds},
  journal = {Geometric and Functional Analysis},
  volume = {16},
  number = {4},
  year = {2006},
  pages = {838--849},
  doi = {10.1007/s00039-006-0572-9},
  eprint = {math/0501449},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/math/0501449v2}
}

@article{Namikawa2002,
  author = {Namikawa, Yoshinori},
  title = {Projectivity criterion of {Moishezon} spaces and density of projective symplectic varieties},
  journal = {International Journal of Mathematics},
  volume = {13},
  year = {2002},
  pages = {125--135},
  eprint = {math/0101019},
  archivePrefix = {arXiv},
  note = {arXiv:math/0101019v6},
  url = {https://arxiv.org/abs/math/0101019v6}
}

@article{Tosatti2016,
  author = {Tosatti, Valentino},
  title = {The {Calabi--Yau} theorem and {K{\"a}hler} currents},
  journal = {Advances in Theoretical and Mathematical Physics},
  volume = {20},
  number = {2},
  year = {2016},
  pages = {381--404},
  doi = {10.4310/ATMP.2016.v20.n2.a4},
  eprint = {1505.02124},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/1505.02124v2}
}

@article{BEGZ2010,
  author = {Boucksom, S{\'e}bastien and Eyssidieux, Philippe and Guedj, Vincent and Zeriahi, Ahmed},
  title = {{Monge--Amp{\`e}re} equations in big cohomology classes},
  journal = {Acta Mathematica},
  volume = {205},
  year = {2010},
  pages = {199--262},
  doi = {10.1007/s11511-010-0054-7},
  eprint = {0812.3674},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/0812.3674v2}
}

@article{DemaillyRegularization1992,
  author = {Demailly, Jean-Pierre},
  title = {Regularization of closed positive currents and intersection theory},
  journal = {Journal of Algebraic Geometry},
  volume = {1},
  year = {1992},
  pages = {361--409},
  url = {https://www-fourier.univ-grenoble-alpes.fr/~demailly/manuscripts/regularization.pdf}
}

@article{Douady1966,
  author = {Douady, Adrien},
  title = {Le probl{\`e}me des modules pour les sous-espaces analytiques compacts d'un espace analytique donn{\'e}},
  journal = {Annales de l'Institut Fourier},
  volume = {16},
  number = {1},
  year = {1966},
  pages = {1--95},
  doi = {10.5802/aif.226},
  url = {https://www.numdam.org/articles/10.5802/aif.226/}
}

@article{Fujino2000,
  author = {Fujino, Osamu},
  title = {Abundance theorem for semi log canonical threefolds},
  journal = {Duke Mathematical Journal},
  volume = {102},
  number = {3},
  year = {2000},
  pages = {513--532},
  doi = {10.1215/S0012-7094-00-10237-2},
  url = {https://www.math.kyoto-u.ac.jp/~fujino/Abundance.pdf}
}

@misc{Kollar2013Sources,
  author = {Koll{\'a}r, J{\'a}nos},
  title = {Sources of log canonical centers},
  year = {2012},
  eprint = {1107.2863},
  archivePrefix = {arXiv},
  primaryClass = {math.AG},
  note = {arXiv:1107.2863v3},
  url = {https://arxiv.org/abs/1107.2863v3}
}

@article{BCHM2010,
  author = {Birkar, Caucher and Cascini, Paolo and Hacon, Christopher D. and McKernan, James},
  title = {Existence of minimal models for varieties of log general type},
  journal = {Journal of the American Mathematical Society},
  volume = {23},
  number = {2},
  year = {2010},
  pages = {405--468},
  doi = {10.1090/S0894-0347-09-00649-3},
  eprint = {math/0610203},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/math/0610203}
}

@article{Ahlfors1938,
  author = {Ahlfors, Lars V.},
  title = {An extension of {Schwarz}'s lemma},
  journal = {Transactions of the American Mathematical Society},
  volume = {43},
  number = {3},
  year = {1938},
  pages = {359--364},
  doi = {10.2307/1990065},
  url = {https://www.jstor.org/stable/1990065}
}

@incollection{LiebermanCycles,
  author = {Lieberman, David I.},
  title = {Compactness of the {Chow} scheme: applications to automorphisms and deformations of {K{\"a}hler} manifolds},
  booktitle = {Fonctions de plusieurs variables complexes {III}},
  editor = {Norguet, Fran{\c c}ois},
  series = {Lecture Notes in Mathematics},
  volume = {670},
  publisher = {Springer},
  year = {1978},
  pages = {140--186},
  doi = {10.1007/BFb0064399},
  url = {https://link.springer.com/chapter/10.1007/BFb0064399}
}

@incollection{CampanaPeternell1999,
  author = {Campana, Fr{\'e}d{\'e}ric and Peternell, Thomas},
  title = {Recent developments in the classification theory of compact {K{\"a}hler} manifolds},
  booktitle = {Several Complex Variables},
  editor = {Schneider, Michael and Siu, Yum-Tong},
  series = {Mathematical Sciences Research Institute Publications},
  volume = {37},
  publisher = {Cambridge University Press},
  year = {1999},
  pages = {113--159},
  note = {MSRI electronic version},
  url = {https://library.slmath.org/books/Book37/files/campana.pdf}
}

@article{KebekusSchnell2021,
  author = {Kebekus, Stefan and Schnell, Christian},
  title = {Extending holomorphic forms from the regular locus of a complex space to a resolution of singularities},
  journal = {Journal of the American Mathematical Society},
  volume = {34},
  number = {2},
  year = {2021},
  pages = {315--368},
  doi = {10.1090/jams/962},
  eprint = {1811.03644},
  archivePrefix = {arXiv},
  note = {Numbered citations refer to arXiv:1811.03644v4},
  url = {https://arxiv.org/abs/1811.03644v4}
}

@article{Miyaoka1988,
  author = {Miyaoka, Yoichi},
  title = {Abundance conjecture for $3$-folds: case $\nu=1$},
  journal = {Compositio Mathematica},
  volume = {68},
  number = {2},
  year = {1988},
  pages = {203--220},
  url = {https://www.numdam.org/item/CM_1988__68_2_203_0/}
}

@article{Kawamata1992,
  author = {Kawamata, Yujiro},
  title = {Abundance theorem for minimal threefolds},
  journal = {Inventiones mathematicae},
  volume = {108},
  number = {2},
  year = {1992},
  pages = {229--246},
  doi = {10.1007/BF02100604},
  url = {https://link.springer.com/article/10.1007/BF02100604}
}

@article{KMM1994,
  author = {Keel, Sean and Matsuki, Kenji and McKernan, James},
  title = {Log abundance theorem for threefolds},
  journal = {Duke Mathematical Journal},
  volume = {75},
  number = {1},
  year = {1994},
  pages = {99--119},
  url = {https://www.math.purdue.edu/people/profile/matsuki.html}
}

@article{KMM2004,
  author = {Keel, Sean and Matsuki, Kenji and McKernan, James},
  title = {Corrections to: \textquotedblleft Log abundance theorem for threefolds\textquotedblright},
  journal = {Duke Mathematical Journal},
  volume = {122},
  number = {3},
  year = {2004},
  pages = {625--630},
  url = {https://www.math.purdue.edu/people/profile/matsuki.html}
}

@article{Peternell2001,
  author = {Peternell, Thomas},
  title = {Towards a {Mori} theory on compact {K{\"a}hler} threefolds {III}},
  journal = {Bulletin de la Soci{\'e}t{\'e} Math{\'e}matique de France},
  volume = {129},
  number = {3},
  year = {2001},
  pages = {339--356},
  doi = {10.24033/bsmf.2400},
  url = {https://numdam.org/articles/10.24033/bsmf.2400/}
}

@article{DemaillyPeternell2003,
  author = {Demailly, Jean-Pierre and Peternell, Thomas},
  title = {A {Kawamata--Viehweg} vanishing theorem on compact {K{\"a}hler} manifolds},
  journal = {Journal of Differential Geometry},
  volume = {63},
  number = {2},
  year = {2003},
  pages = {231--277},
  eprint = {math/0208021},
  archivePrefix = {arXiv},
  note = {arXiv:math/0208021v1},
  url = {https://arxiv.org/abs/math/0208021v1}
}

@article{HoeringPeternell2016,
  author = {H{\"o}ring, Andreas and Peternell, Thomas},
  title = {Minimal models for {K{\"a}hler} threefolds},
  journal = {Inventiones mathematicae},
  volume = {203},
  number = {1},
  year = {2016},
  pages = {217--264},
  doi = {10.1007/s00222-015-0592-x},
  eprint = {1304.4013},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/1304.4013v3}
}

@article{CHP2016,
  author = {Campana, Fr{\'e}d{\'e}ric and H{\"o}ring, Andreas and Peternell, Thomas},
  title = {Abundance for {K{\"a}hler} threefolds},
  journal = {Annales scientifiques de l'{\'E}cole Normale Sup{\'e}rieure},
  series = {4},
  volume = {49},
  number = {4},
  year = {2016},
  pages = {971--1025},
  doi = {10.24033/asens.2301},
  url = {https://numdam.org/articles/10.24033/asens.2301/}
}

@misc{CHP2023,
  author = {Campana, Fr{\'e}d{\'e}ric and H{\"o}ring, Andreas and Peternell, Thomas},
  title = {Erratum and addendum to the paper: {Abundance for K{\"a}hler threefolds}},
  year = {2023},
  eprint = {2304.10161},
  archivePrefix = {arXiv},
  primaryClass = {math.AG},
  note = {arXiv:2304.10161v1},
  url = {https://arxiv.org/abs/2304.10161v1}
}

@article{DasOu2026,
  author = {Das, Omprokash and Ou, Wenhao},
  title = {On the log abundance for compact {K{\"a}hler} threefolds {II}},
  journal = {Proceedings of the London Mathematical Society},
  volume = {132},
  number = {3},
  year = {2026},
  pages = {e70141},
  doi = {10.1112/plms.70141},
  eprint = {2306.00671},
  archivePrefix = {arXiv},
  note = {Numbered citations refer to arXiv:2306.00671v4},
  url = {https://arxiv.org/abs/2306.00671v4}
}

@article{Fujino2017Subadditivity,
  author = {Fujino, Osamu},
  title = {On subadditivity of the logarithmic {Kodaira} dimension},
  journal = {Journal of the Mathematical Society of Japan},
  volume = {69},
  number = {4},
  year = {2017},
  pages = {1565--1581},
  doi = {10.2969/jmsj/06941565},
  eprint = {1406.2759},
  archivePrefix = {arXiv},
  note = {arXiv:1406.2759v8},
  url = {https://www.jstage.jst.go.jp/article/jmath/69/4/69_1565/_article}
}

@article{Fujino2020Corrigendum,
  author = {Fujino, Osamu},
  title = {Corrigendum to \textquotedblleft On subadditivity of the logarithmic {Kodaira} dimension\textquotedblright},
  journal = {Journal of the Mathematical Society of Japan},
  volume = {72},
  number = {4},
  year = {2020},
  pages = {1181--1187},
  doi = {10.2969/jmsj/82568256},
  eprint = {1904.11639},
  archivePrefix = {arXiv},
  note = {arXiv:1904.11639v3},
  url = {https://www.jstage.jst.go.jp/article/jmath/72/4/72_1181/_article}
}

@article{Hashizume2020,
  author = {Hashizume, Kenta},
  title = {Log {Iitaka} conjecture for abundant log canonical fibrations},
  journal = {Proceedings of the Japan Academy, Series A, Mathematical Sciences},
  volume = {96},
  number = {10},
  year = {2020},
  pages = {87--92},
  doi = {10.3792/pjaa.96.017},
  eprint = {1902.10923},
  archivePrefix = {arXiv},
  note = {Numbered citations refer to arXiv:1902.10923v2},
  url = {https://arxiv.org/abs/1902.10923v2}
}

@article{AcquistapaceBrogliaTognoli1979,
  author = {Acquistapace, F. and Broglia, F. and Tognoli, A.},
  title = {An embedding theorem for real analytic spaces},
  journal = {Annali della Scuola Normale Superiore di Pisa. Classe di Scienze},
  series = {4},
  volume = {6},
  number = {3},
  year = {1979},
  pages = {415--426},
  url = {https://www.numdam.org/item/ASNSP_1979_4_6_3_415_0/}
}

@article{Lojasiewicz1964,
  author = {Lojasiewicz, S.},
  title = {Triangulation of semi-analytic sets},
  journal = {Annali della Scuola Normale Superiore di Pisa - Scienze Fisiche e Matematiche},
  series = {3},
  volume = {18},
  number = {4},
  year = {1964},
  pages = {449--474},
  url = {https://numdam.org/item/ASNSP_1964_3_18_4_449_0/}
}

@misc{LI,
  author = {{OpenAI}},
  title = {{Log abundance in characteristic zero}},
  howpublished = {OpenAI Math Release preprint
                  \href{https://github.com/openai/math/blob/main/preprints/Log-abundance-in-characteristic-zero-September-24-2026/paper.pdf}{OAI:Log-abundance-in-characteristic-zero-September-24-2026}},
  year = {2026}
}

@misc{CI,
  author = {{OpenAI}},
  title = {{Orbifold and logarithmic Iitaka subadditivity}},
  howpublished = {OpenAI Math Release preprint
                  \href{https://github.com/openai/math/blob/main/preprints/Orbifold-and-logarithmic-Iitaka-subadditivity-September-26-2026/paper.pdf}{OAI:Orbifold-and-logarithmic-Iitaka-subadditivity-September-26-2026}},
  year = {2026}
}

@misc{CB,
  author = {{OpenAI}},
  title = {{Conditional good minimal models for compact K{\"a}hler fourfolds}},
  howpublished = {OpenAI Math Release preprint
                  \href{https://github.com/openai/math/blob/main/preprints/Conditional-good-minimal-models-for-compact-Kahler-fourfolds-October-5-2026/paper.pdf}{OAI:Conditional-good-minimal-models-for-compact-Kahler-fourfolds-October-5-2026}},
  year = {2026}
}

@misc{BL,
  author = {{OpenAI}},
  title = {{Abundance after nonvanishing for compact K\"ahler fourfolds}},
  howpublished = {OpenAI Math Release preprint
                  \href{https://github.com/openai/math/blob/main/preprints/Abundance-after-nonvanishing-for-compact-Kahler-fourfolds-September-27-2026/paper.pdf}{OAI:Abundance-after-nonvanishing-for-compact-Kahler-fourfolds-September-27-2026}},
  year = {2026}
}

@misc{External037,
  author = {{OpenAI}},
  title = {{Minimal models and Mori fibre spaces for generalized log canonical $\mathbb{Q}$-pairs}},
  howpublished = {OpenAI Math Release preprint
                  \href{https://github.com/openai/math/blob/main/preprints/Minimal-models-and-Mori-fibre-spaces-for-generalized-log-canonical-Q-pairs-September-24-2026/paper.pdf}{OAI:Minimal-models-and-Mori-fibre-spaces-for-generalized-log-canonical-Q-pairs-September-24-2026}},
  year = {2026}
}

@article{CaoPaun2017,
  author = {Cao, Junyan and P{\u a}un, Mihai},
  title = {Kodaira dimension of algebraic fiber spaces over abelian varieties},
  journal = {Inventiones mathematicae},
  volume = {207},
  number = {1},
  year = {2017},
  pages = {345--387},
  doi = {10.1007/s00222-016-0672-6},
  eprint = {1504.01095},
  archivePrefix = {arXiv},
  primaryClass = {math.AG},
  note = {Numbered citations refer to arXiv:1504.01095v3},
  url = {https://arxiv.org/html/1504.01095v3}
}

@misc{DH2024,
  author = {Das, Omprokash and Hacon, Christopher},
  title = {Transcendental minimal model program for projective varieties},
  year = {2026},
  eprint = {2412.07650},
  archivePrefix = {arXiv},
  primaryClass = {math.AG},
  note = {arXiv:2412.07650v2, 29 June 2026; to appear in Algebraic Geometry},
  doi = {10.48550/arXiv.2412.07650},
  url = {https://arxiv.org/abs/2412.07650v2}
}

@misc{CH,
  author = {Claudon, Beno{\^i}t and H{\"o}ring, Andreas},
  title = {Projectivity criteria for {K{\"a}hler} morphisms},
  year = {2024},
  eprint = {2404.13927},
  archivePrefix = {arXiv},
  primaryClass = {math.AG},
  note = {arXiv:2404.13927v1},
  doi = {10.48550/arXiv.2404.13927},
  url = {https://arxiv.org/abs/2404.13927v1}
}

@article{FujinoMiyamoto2020,
  author = {Fujino, Osamu and Miyamoto, Keisuke},
  title = {{Nakai--Moishezon} ampleness criterion for real line bundles},
  journal = {Mathematische Annalen},
  volume = {385},
  number = {1--2},
  year = {2023},
  pages = {459--470},
  eprint = {2101.00806},
  archivePrefix = {arXiv},
  primaryClass = {math.AG},
  note = {Numbered citations refer to arXiv:2101.00806v1, author version 0.09 of 29 November 2020},
  url = {https://arxiv.org/abs/2101.00806v1}
}

@misc{DHY,
  author = {Das, Omprokash and Hacon, Christopher and Y{\'a}{\~n}ez, Jos{\'e} Ignacio},
  title = {{MMP} for Generalized Pairs on {K{\"a}hler} 3-folds},
  year = {2026},
  eprint = {2305.00524},
  archivePrefix = {arXiv},
  primaryClass = {math.AG},
  note = {arXiv:2305.00524v3, 29 June 2026; Appendix A only},
  doi = {10.48550/arXiv.2305.00524},
  url = {https://arxiv.org/abs/2305.00524v3}
}
