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@article{Skoda1972,
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@incollection{Yau1994,
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@article{CampanaPaun2019,
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@article{GrebKebekusPeternell2016,
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@article{BerndtssonPaun2008,
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@article{BDPP2013,
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@article{Rosenlicht1956,
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@article{AK2000,
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}

@article{Berndtsson2011,
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  doi = {10.1007/s00209-010-0783-5},
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@article{Boucksom2002,
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@article{GuanZhou2015,
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@article{Nadel1990,
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@article{OhsawaTakegoshi1987,
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@article{PT2018,
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  doi = {10.1090/jag/702},
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@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},
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  publisher = {American Mathematical Society}, year = {2018}, pages = {143--195},
  doi = {10.1090/conm/712/14346},
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  note = {Theorem 21.1 and Corollary 21.2 numbering refers to the author-hosted 53-page version}
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@article{BCHM2010,
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@incollection{Demailly2015,
  author = {Demailly, Jean-Pierre},
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@article{BaldoniBerlineDeLoeraKoeppeVergne2012,
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@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},
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@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},
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@article{CaoHoring,
  author = {Cao, Junyan and H{\"o}ring, Andreas},
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  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},
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  year = {2025},
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@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}}
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@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}
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@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{JelisiejewSienkiewicz2019,
  author        = {Jelisiejew, Joachim and Sienkiewicz, {\L}ukasz},
  title         = {{Bia{\l}ynicki-Birula} decomposition for reductive groups},
  journal       = {Journal de Math{\'e}matiques Pures et Appliqu{\'e}es},
  volume        = {131},
  year          = {2019},
  pages         = {290--325},
  doi           = {10.1016/j.matpur.2019.04.006},
  eprint        = {1805.11558},
  archivePrefix = {arXiv},
  primaryClass  = {math.AG},
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  note          = {Preprint version consulted: arXiv:1805.11558v3, 21 December 2018}
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@article{BB1973,
 author = {Bia{\l}ynicki-Birula, Andrzej},
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@article{LP2018,
  author = {Lazi{\'c}, Vladimir and Peternell, Thomas},
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@misc{CompanionH,
  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}
}

@misc{CompanionI,
  author = {{OpenAI}},
  title = {{Invariant anticanonical indices and conversion of twisted differentials}},
  howpublished = {OpenAI Math Release preprint
                  \href{https://github.com/openai/math/blob/main/preprints/Invariant-anticanonical-indices-and-conversion-of-twisted-differentials-September-26-2026/main.pdf}{OAI:Invariant-anticanonical-indices-and-conversion-of-twisted-differentials-September-26-2026}},
  year = {2026}
}

@misc{CompanionG,
  author = {{OpenAI}},
  title = {{Metric descent and rank-preserving contractions}},
  howpublished = {OpenAI Math Release preprint
                  \href{https://github.com/openai/math/blob/main/preprints/Metric-descent-and-rank-preserving-contractions-September-26-2026/main.pdf}{OAI:Metric-descent-and-rank-preserving-contractions-September-26-2026}},
  year = {2026}
}