
@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{Ou,
  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}
}

@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{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{Fujiki,
  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}
}

@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{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}
}

@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}
}

@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{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{LP1,
  author = {Lazi{\'c}, Vladimir and Peternell, Thomas},
  title = {On Generalised Abundance, {I}},
  journal = {Publications of the Research Institute for Mathematical Sciences},
  volume = {56}, number = {2}, year = {2020}, pages = {353--389},
  doi = {10.4171/PRIMS/56-2-3},
  eprint = {1808.00438}, archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/1808.00438v2}
}

@article{LP2,
  author = {Lazi{\'c}, Vladimir and Peternell, Thomas},
  title = {On Generalised Abundance, {II}},
  journal = {Peking Mathematical Journal},
  volume = {3}, number = {1}, year = {2020}, pages = {1--46},
  doi = {10.1007/s42543-019-00022-1},
  eprint = {1809.02500}, archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/1809.02500v4}
}

@article{DasOu2024,
  author = {Das, Omprokash and Ou, Wenhao},
  title = {On the log abundance for compact {K{\"a}hler} threefolds},
  journal = {Manuscripta Mathematica},
  volume = {173}, number = {1--2}, year = {2024}, pages = {341--404},
  doi = {10.1007/s00229-023-01467-6},
  eprint = {2201.01202}, archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2201.01202v3}
}

@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},
  note = {arXiv:2305.00524v3; to appear in Annali della Scuola Normale Superiore di Pisa, Classe di Scienze},
  doi = {10.2422/2036-2145.202506_004},
  eprint = {2305.00524}, archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2305.00524v3}
}

@article{Ambro,
  author = {Ambro, Florin},
  title = {The moduli $b$-divisor of an lc-trivial fibration},
  journal = {Compositio Mathematica},
  volume = {141}, number = {2}, year = {2005}, pages = {385--403},
  doi = {10.1112/S0010437X04001071},
  eprint = {math/0308143}, archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/math/0308143}
}

@article{Schmid,
  author = {Schmid, Wilfried},
  title = {Variation of {Hodge} structure: the singularities of the period mapping},
  journal = {Inventiones Mathematicae},
  volume = {22}, year = {1973}, pages = {211--319},
  doi = {10.1007/BF01389674}
}

@article{CKS,
  author = {Cattani, Eduardo and Kaplan, Aroldo and Schmid, Wilfried},
  title = {Degeneration of {Hodge} structures},
  journal = {Annals of Mathematics}, series = {2},
  volume = {123}, number = {3}, year = {1986}, pages = {457--535},
  doi = {10.2307/1971333},
  url = {https://annals.math.princeton.edu/1986/123-3/p02}
}

@article{Hironaka,
  author = {Hironaka, Heisuke},
  title = {Bimeromorphic smoothing of a complex-analytic space},
  journal = {Acta Mathematica Vietnamica},
  volume = {2}, year = {1977}, pages = {103--168}
}

@article{BierstoneMilman,
  author = {Bierstone, Edward and Milman, Pierre D.},
  title = {Canonical desingularization in characteristic zero by blowing up the maximum strata of a local invariant},
  journal = {Inventiones Mathematicae},
  volume = {128}, number = {2}, year = {1997}, pages = {207--302},
  doi = {10.1007/s002220050141},
  eprint = {alg-geom/9508005}, archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/alg-geom/9508005}
}

@misc{BBYv2,
  author = {Matsumura, Shin-ichi and Wang, Juanyong and Wu, Xiaojun and Zhang, Qimin},
  title = {{Beauville--Bogomolov--Yau} decomposition for {K{\"a}hler} generalized pairs},
  year = {2026},
  note = {arXiv:2506.23218v2, September 9, 2026},
  eprint = {2506.23218}, archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2506.23218v2}
}

@article{COP,
  author = {Campana, Fr{\'e}d{\'e}ric and Oguiso, Keiji and Peternell, Thomas},
  title = {Non-algebraic hyperk{\"a}hler manifolds},
  journal = {Journal of Differential Geometry},
  volume = {85}, number = {3}, year = {2010}, pages = {397--424},
  doi = {10.4310/jdg/1292940689},
  eprint = {0804.1682}, archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/0804.1682}
}

@book{SGA1,
  author = {Grothendieck, Alexander and others},
  title = {Rev{\^e}tements {\'e}tales et groupe fondamental ({SGA} 1)},
  series = {Documents Math{\'e}matiques}, volume = {3},
  publisher = {Soci{\'e}t{\'e} Math{\'e}matique de France},
  address = {Paris}, year = {2003},
  note = {Updated edition of Lecture Notes in Mathematics 224 (1971); arXiv:math/0206203v2},
  eprint = {math/0206203}, archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/math/0206203v2}
}

@book{Ueno,
  author = {Ueno, Kenji},
  title = {Classification Theory of Algebraic Varieties and Compact Complex Spaces},
  series = {Lecture Notes in Mathematics}, volume = {439},
  publisher = {Springer}, address = {Berlin}, year = {1975},
  doi = {10.1007/BFb0070570}
}

@misc{DemaillyCADG,
  author = {Demailly, Jean-Pierre},
  title = {Complex Analytic and Differential Geometry},
  year = {2012}, note = {Version of June 21, 2012},
  url = {https://www-fourier.univ-grenoble-alpes.fr/~demailly/manuscripts/agbook.pdf}
}

@article{PPS,
  author = {Pareschi, Giuseppe and Popa, Mihnea and Schnell, Christian},
  title = {{Hodge} modules on complex tori and generic vanishing for compact {K{\"a}hler} manifolds},
  journal = {Geometry {\&} Topology},
  volume = {21}, number = {4}, year = {2017}, pages = {2419--2460},
  doi = {10.2140/gt.2017.21.2419},
  url = {https://msp.org/gt/2017/21-4/p12.xhtml}
}


@incollection{Barlet,
 author={Barlet, Daniel},
 title={Espace analytique r\'eduit des cycles analytiques complexes compacts d'un espace analytique complexe de dimension finie},
 booktitle={Fonctions de plusieurs variables complexes, II},
 editor={Norguet, Fran\c{c}ois},
 series={Lecture Notes in Mathematics}, volume={482},
 publisher={Springer}, address={Berlin}, year={1975}, pages={1--158},
 doi={10.1007/BFb0080243}
}

@incollection{BarletSurvey,
 author={Barlet, Daniel},
 title={How to use the cycle space in complex geometry},
 booktitle={Several Complex Variables},
 series={Mathematical Sciences Research Institute Publications}, volume={37},
 publisher={Cambridge University Press}, address={Cambridge},
 year={1999}, pages={25--42},
 url={https://library.slmath.org/books/Book37/files/barlet.pdf}
}

@article{Grauert,
 author={Grauert, Hans},
 title={Ein {Theorem} der analytischen {Garbentheorie} und die {Modulr\"aume} komplexer {Strukturen}},
 journal={Publ. Math. Inst. Hautes \'Etudes Sci.},
 volume={5}, year={1960}, pages={5--64},
 doi={10.1007/BF02684746},
 note={Correction: ibid. 16 (1963), 35--36, doi:10.1007/BF02684291}
}

@article{HironakaFlattening,
  author = {Hironaka, Heisuke},
  title = {Flattening Theorem in Complex-Analytic Geometry},
  journal = {American Journal of Mathematics},
  volume = {97},
  number = {2},
  pages = {503--547},
  year = {1975},
  doi = {10.2307/2373721}
}

@article{BierstoneMilman2008,
  author = {Bierstone, Edward and Milman, Pierre D.},
  title = {Functoriality in Resolution of Singularities},
  journal = {Publications of the Research Institute for Mathematical Sciences},
  volume = {44},
  number = {2},
  pages = {609--639},
  year = {2008},
  doi = {10.2977/PRIMS/1210167338},
  eprint = {math/0702375},
  archivePrefix = {arXiv}
}

@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{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{GrauertCorrection,
  author = {Grauert, Hans},
  title = {Berichtigung: {Ein Theorem der analytischen Garbentheorie und die Modulr{\"a}ume komplexer Strukturen}},
  journal = {Publications Math{\'e}matiques de l'IH{\'E}S},
  volume = {16}, year = {1963}, pages = {35--36},
  doi = {10.1007/BF02684291},
  url = {https://www.numdam.org/item/PMIHES_1963__16__35_0/}
}

@article{Campana1981,
  author = {Campana, Fr{\'e}d{\'e}ric},
  title = {Cor{\'e}duction alg{\'e}brique d'un espace analytique faiblement {K{\"a}hl{\'e}rien} compact},
  journal = {Inventiones Mathematicae},
  volume = {63}, number = {2}, year = {1981}, pages = {187--223},
  doi = {10.1007/BF01393876}
}
