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@article{AK2000,
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@article{BB1973,
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@article{BDPP2013,
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@incollection{Demailly2015,
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@article{Ou2023,
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@article{PT2018,
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@misc{StacksProject,
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@incollection{Yau1994,
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@misc{raDemailly,
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@article{raLP,
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  mrnumber = {1158622},
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@article{JelisiejewSienkiewicz2019,
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@article{AtiyahSinger1968,
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  number = {6},
  year = {1961},
  pages = {249--276},
  publisher = {Soci{\'e}t{\'e} Math{\'e}matique de France},
  address = {Paris},
  note = {Expos{\'e} 221},
  url = {https://www.numdam.org/item/SB_1960-1961__6__249_0/}
}

@article{Skoda1972,
  author = {Skoda, Henri},
  title = {Sous-ensembles analytiques d'ordre fini ou infini dans {$\mathbb{C}^n$}},
  journal = {Bulletin de la Soci{\'e}t{\'e} Math{\'e}matique de France},
  volume = {100},
  year = {1972},
  pages = {353--408},
  doi = {10.24033/bsmf.1743},
  url = {https://www.numdam.org/articles/10.24033/bsmf.1743/}
}

@article{GrebKebekusPeternell2016,
  author = {Greb, Daniel and Kebekus, Stefan and Peternell, Thomas},
  title = {Movable curves and semistable sheaves},
  journal = {International Mathematics Research Notices},
  year = {2016}, number = {2}, pages = {536--570},
  doi = {10.1093/imrn/rnv126},
  url = {https://arxiv.org/abs/1408.4308},
  eprint = {1408.4308}, archivePrefix = {arXiv},
  note = {Theorem numbering refers to arXiv:1408.4308v2, 15 April 2015}
}

@article{Berndtsson2011,
  author = {Berndtsson, Bo},
  title = {Strict and nonstrict positivity of direct image bundles},
  journal = {Mathematische Zeitschrift},
  volume = {269}, number = {3-4}, year = {2011}, pages = {1201--1218},
  doi = {10.1007/s00209-010-0783-5},
  url = {https://arxiv.org/abs/1002.4797},
  note = {Formula (2.1) and Lemma 2.1 numbering refers to arXiv:1002.4797v2}
}

@article{Boucksom2002,
  author = {Boucksom, S{\'e}bastien},
  title = {On the volume of a line bundle},
  journal = {International Journal of Mathematics},
  volume = {13}, number = {10}, year = {2002}, pages = {1043--1063},
  url = {https://arxiv.org/abs/math/0201031},
  note = {Theorem 1.2(i) numbering refers to arXiv:math/0201031v1, p. 2}
}

@article{GuanZhou2015,
  author = {Guan, Qi'an and Zhou, Xiangyu},
  title = {A proof of {Demailly}'s strong openness conjecture},
  journal = {Annals of Mathematics},
  volume = {182}, number = {2}, year = {2015}, pages = {605--616},
  doi = {10.4007/annals.2015.182.2.5},
  url = {https://annals.math.princeton.edu/wp-content/uploads/annals-v182-n2-p05-p.pdf}
}

@article{Nadel1990,
  author = {Nadel, Alan Michael},
  title = {Multiplier ideal sheaves and {K\"ahler--Einstein} metrics of positive scalar curvature},
  journal = {Annals of Mathematics},
  volume = {132}, number = {3}, year = {1990}, pages = {549--596},
  doi = {10.2307/1971429},
  url = {https://annals.math.princeton.edu/1990/132-3/p04}
}

@article{OhsawaTakegoshi1987,
  author = {Ohsawa, Takeo and Takegoshi, Kensho},
  title = {On the extension of {$L^2$} holomorphic functions},
  journal = {Mathematische Zeitschrift},
  volume = {195}, number = {2}, year = {1987}, pages = {197--204},
  doi = {10.1007/BF01166457},
  url = {https://link.springer.com/article/10.1007/BF01166457}
}

@incollection{HPS2018,
  author = {Hacon, Christopher D. and Popa, Mihnea and Schnell, Christian},
  title = {Algebraic fiber spaces over abelian varieties: around a recent theorem by {Cao} and {P{\u a}un}},
  booktitle = {Local and Global Methods in Algebraic Geometry},
  series = {Contemporary Mathematics}, volume = {712},
  publisher = {American Mathematical Society}, year = {2018}, pages = {143--195},
  doi = {10.1090/conm/712/14346},
  url = {https://people.math.harvard.edu/~mpopa/papers/HPS.pdf},
  note = {Theorem 21.1 and Corollary 21.2 numbering refers to the author-hosted 53-page version}
}

@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},
  url = {https://arxiv.org/abs/math/0610203},
  note = {Theorems D and 1.1, Definitions 3.6.1 and 3.6.6, and Corollary 3.9.2 use the numbering of arXiv:math/0610203v2}
}

@article{BaldoniBerlineDeLoeraKoeppeVergne2012,
  author = {Baldoni, Velleda and Berline, Nicole and De Loera, Jes{\'u}s A.
            and K{\"o}ppe, Matthias and Vergne, Mich{\`e}le},
  title = {Computation of the highest coefficients of weighted {Ehrhart}
           quasi-polynomials of rational polyhedra},
  journal = {Foundations of Computational Mathematics},
  volume = {12},
  number = {4},
  year = {2012},
  pages = {435--469},
  doi = {10.1007/s10208-011-9106-4},
  eprint = {1011.1602},
  archivePrefix = {arXiv},
  primaryClass = {math.CO},
  url = {https://doi.org/10.1007/s10208-011-9106-4}
}

@article{CortiLazic2013,
  author        = {Corti, Alessio and Lazi{\'c}, Vladimir},
  title         = {New outlook on the {Minimal Model Program}, {II}},
  journal       = {Mathematische Annalen},
  volume        = {356},
  number        = {2},
  year          = {2013},
  pages         = {617--633},
  doi           = {10.1007/s00208-012-0858-1},
  url           = {https://doi.org/10.1007/s00208-012-0858-1},
  eprint        = {1005.0614},
  archivePrefix = {arXiv},
  primaryClass  = {math.AG},
  note = {Theorem numbering refers to arXiv:1005.0614v3}
}

@article{CasciniLazic2012,
  author        = {Cascini, Paolo and Lazi{\'c}, Vladimir},
  title         = {New outlook on the {Minimal Model Program}, {I}},
  journal       = {Duke Mathematical Journal},
  volume        = {161},
  number        = {12},
  year          = {2012},
  pages         = {2415--2467},
  doi           = {10.1215/00127094-1723755},
  url           = {https://doi.org/10.1215/00127094-1723755},
  eprint        = {1009.3188},
  archivePrefix = {arXiv},
  primaryClass  = {math.AG},
  note = {Theorem numbering refers to arXiv:1009.3188v2}
}

@article{CaoHoring,
  author = {Cao, Junyan and H{\"o}ring, Andreas},
  title = {A decomposition theorem for projective manifolds with nef anticanonical bundle},
  journal = {Journal of Algebraic Geometry},
  volume = {28},
  number = {3},
  pages = {567--597},
  year = {2019},
  eprint = {1706.08814},
  archivePrefix = {arXiv},
  primaryClass = {math.AG},
  url = {https://math.univ-cotedazur.fr/u/hoering/articles/a31-decomposition.pdf},
  note = {The author revision dated 4 October 2017 numbers the MRC statement as Theorem 1.3; arXiv v1 numbers it as Theorem 1.4}
}

@article{MatsumuraWang,
  author = {Matsumura, Shin-ichi and Wang, Juanyong},
  title = {Structure theorem for projective klt pairs with nef anti-canonical divisor},
  journal = {Journal of the European Mathematical Society},
  year = {2025},
  doi = {10.4171/JEMS/1702},
  url = {https://ems.press/journals/jems/articles/14299169},
  note = {Published online first, 30 September 2025}
}

@misc{MatsumuraWangV3,
  author = {Matsumura, Shin-ichi and Wang, Juanyong},
  title = {Structure theorem for projective klt pairs with nef anti-canonical divisor},
  year = {2023},
  eprint = {2105.14308v3},
  archivePrefix = {arXiv},
  primaryClass = {math.AG},
  url = {https://arxiv.org/abs/2105.14308v3},
  note = {Version 3, 30 August 2023},
  howpublished = {\url{https://arxiv.org/abs/2105.14308v3}}
}

@misc{CFSTZ2026,
  author = {Chen, Yifan and Filip, Simion and Sun, Song and Tosatti, Valentino and Zhang, Junsheng},
  title = {Compact {K\"ahler} surfaces with semipositive anticanonical bundle},
  year = {2026},
  eprint = {2609.26716},
  archivePrefix = {arXiv},
  primaryClass = {math.DG},
  note = {Version 1, 22 September 2026},
  url = {https://arxiv.org/abs/2609.26716},
  howpublished = {\url{https://arxiv.org/abs/2609.26716v1}}
}

@misc{MengQingZhou2026,
  author = {Meng, Xiankui and Qing, Chenghao and Zhou, Xiangyu},
  title = {Vanishing theorems for pseudo-effective line bundles},
  year = {2026},
  eprint = {2602.13821},
  archivePrefix = {arXiv},
  primaryClass = {math.CV},
  note = {Version 2, 10 July 2026},
  url = {https://arxiv.org/abs/2602.13821}
}

@misc{MatsumuraWangWuZhang2026,
  author = {Matsumura, Shin-ichi and Wang, Juanyong and Wu, Xiaojun and Zhang, Qimin},
  title = {{Beauville--Bogomolov--Yau} decomposition for {K\"ahler} generalized pairs},
  year = {2026},
  eprint = {2506.23218},
  archivePrefix = {arXiv},
  primaryClass = {math.AG},
  url = {https://arxiv.org/abs/2506.23218v2},
  note = {arXiv:2506.23218v2, revised 9 September 2026},
  howpublished = {\url{https://arxiv.org/abs/2506.23218v2}}
}

@article{LP2018,
  author = {Lazi{\'c}, Vladimir and Peternell, Thomas},
  title = {{\href{https://doi.org/10.46298/epiga.2018.volume2.3867}{Abundance for varieties with many differential forms}}},
  journal = {\'Epijournal de G\'eom\'etrie Alg\'ebrique},
  volume = {2},
  year = {2018},
  pages = {Article 1, 35 pp.},
  doi = {10.46298/epiga.2018.volume2.3867},
  url = {https://epiga.episciences.org/4276/pdf}
}

@misc{HFiniteVolume,
  author = {{OpenAI}},
  title = {{Anticanonical nonvanishing from smooth semipositivity}},
  howpublished = {OpenAI Math Release preprint
                  \href{https://github.com/openai/math/blob/main/preprints/Anticanonical-nonvanishing-from-smooth-semipositivity-September-26-2026/main.pdf}{OAI:Anticanonical-nonvanishing-from-smooth-semipositivity-September-26-2026}},
  year = {2026}
}

@article{Kiselman1978,
  author = {Kiselman, Christer O.},
  title = {The partial {Legendre} transformation for plurisubharmonic functions},
  journal = {Inventiones Mathematicae},
  volume = {49},
  year = {1978},
  pages = {137--148},
  doi = {10.1007/BF01403083},
  url = {https://doi.org/10.1007/BF01403083}
}

@article{Berndtsson1998,
  author = {Berndtsson, Bo},
  title = {{Pr\'ekopa}'s theorem and {Kiselman}'s minimum principle for plurisubharmonic functions},
  journal = {Mathematische Annalen},
  volume = {312},
  year = {1998},
  pages = {785--792},
  doi = {10.1007/s002080050246},
  url = {https://doi.org/10.1007/s002080050246}
}

@article{Berndtsson2006,
  author = {Berndtsson, Bo},
  title = {Subharmonicity properties of the {Bergman} kernel and some other functions associated to pseudoconvex domains},
  journal = {Annales de l'Institut Fourier},
  volume = {56},
  number = {6},
  year = {2006},
  pages = {1633--1662},
  doi = {10.5802/aif.2223},
  url = {https://aif.centre-mersenne.org/item/10.5802/aif.2223.pdf}
}

@misc{DengWangZhangZhou2018,
  author = {Deng, Fusheng and Wang, Zhiwei and Zhang, Liyou and Zhou, Xiangyu},
  title = {A new proof of {Kiselman}'s minimum principle for plurisubharmonic functions},
  year = {2018},
  eprint = {1810.12733},
  archivePrefix = {arXiv},
  primaryClass = {math.CV},
  url = {https://arxiv.org/abs/1810.12733v1},
  note = {Theorem 1.1, p. 1, in version 1, 30 October 2018}
}

@misc{CCohomologicalTransfer,
  author = {{OpenAI}},
  title = {{Cohomological transfer and equivariant anticanonical sections}},
  howpublished = {OpenAI Math Release preprint
                  \href{https://github.com/openai/math/blob/main/preprints/Cohomological-transfer-and-equivariant-anticanonical-sections-September-26-2026/main.pdf}{OAI:Cohomological-transfer-and-equivariant-anticanonical-sections-September-26-2026}},
  year = {2026}
}

@misc{EControlledBoundary,
  author = {{OpenAI}},
  title = {{Integrable metrics and effectivity with controlled boundary}},
  howpublished = {OpenAI Math Release preprint
                  \href{https://github.com/openai/math/blob/main/preprints/Integrable-metrics-and-effectivity-with-controlled-boundary-September-26-2026/main.pdf}{OAI:Integrable-metrics-and-effectivity-with-controlled-boundary-September-26-2026}},
  year = {2026}
}


@misc{AbramovichRojas1998,
 author={D. Abramovich and J. M. Rojas},
 title={Extending Triangulations and Semistable Reduction},
 year={1998},
 eprint={math/9804058},
 archivePrefix={arXiv},
 primaryClass={math.AG},
 url={https://arxiv.org/abs/math/9804058v1},
 note={Corollary 0.11, p. 4, in version 1, 9 April 1998}
}

@misc{AichingerAichinger2018,
  author = {Aichinger, Erhard and Aichinger, Florian},
  title = {{\href{https://arxiv.org/abs/1812.03024v1}{Dickson's Lemma, Higman's Theorem and Beyond: a survey of some basic results in order theory}}},
  year = {2018},
  howpublished = {arXiv:1812.03024v1},
  url = {https://arxiv.org/abs/1812.03024v1}
}