@misc{GrantCampana,
  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},
  note = {Theorem 1.1}
}

@misc{GrantMMP,
  author = {{OpenAI}},
  title = {{Finite ordinary minimal model programs on compact K\"ahler fourfolds}},
  howpublished = {OpenAI Math Release preprint
                  \href{https://github.com/openai/math/blob/main/preprints/Finite-ordinary-minimal-model-programs-on-compact-Kahler-fourfolds-October-5-2026/paper.pdf}{OAI:Finite-ordinary-minimal-model-programs-on-compact-Kahler-fourfolds-October-5-2026}},
  year = {2026},
  note = {Theorem 6.20; Proposition 3.4 and its proof}
}

@misc{GrantEffectiveAbundance,
  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},
  note = {Theorem 1.1; semiampleness of the actual nef adjoint under nonnegative Kodaira dimension}
}

@misc{OuUniruledness,
  author = {Ou, Wenhao},
  title = {A characterization of uniruled compact {K\"ahler} manifolds},
  year = {2025},
  eprint = {2501.18088},
  archivePrefix = {arXiv},
  note = {Version 1, 30 January 2025},
  url = {https://arxiv.org/abs/2501.18088v1},
  howpublished = {\url{https://arxiv.org/abs/2501.18088v1}}
}

@article{NamikawaProjectivity,
  author = {Namikawa, Yoshinori},
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  pages = {125--135},
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  url = {https://arxiv.org/abs/math/0101019v6}
}

@article{CampanaOrbifolds,
  author = {Campana, Fr{\'e}d{\'e}ric},
  title = {Orbifolds, special varieties and classification theory},
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  number = {3},
  year = {2004},
  pages = {499--630},
  doi = {10.5802/aif.2027},
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}

@article{CampanaRationalQuotient,
  author = {Campana, Fr{\'e}d{\'e}ric},
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}

@article{CampanaAlgebraicConnectedness,
  author = {Campana, Fr{\'e}d{\'e}ric},
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}

@incollection{CampanaPeternellSurvey,
  author = {Campana, Fr{\'e}d{\'e}ric and Peternell, Thomas},
  title = {Recent developments in the classification theory of compact {K\"ahler} manifolds},
  booktitle = {Several Complex Variables},
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}

@article{GraberHarrisStarr,
  author = {Graber, Tom and Harris, Joe and Starr, Jason},
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}

@article{DasOuAbundanceI,
  author = {Das, Omprokash and Ou, Wenhao},
  title = {On the log abundance for compact {K\"ahler} threefolds},
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  volume = {173},
  year = {2024},
  pages = {341--404},
  doi = {10.1007/s00229-023-01467-6},
  url = {https://arxiv.org/abs/2201.01202v3}
}

@misc{DasOuAbundanceII,
  author = {Das, Omprokash and Ou, Wenhao},
  title = {On the log abundance for compact {K\"ahler} threefolds {II}},
  year = {2025},
  eprint = {2306.00671},
  archivePrefix = {arXiv},
  note = {Version 4, 12 June 2025; first submitted 2023},
  url = {https://arxiv.org/abs/2306.00671v4},
  howpublished = {\url{https://arxiv.org/abs/2306.00671v4}}
}

@article{FujinoGongyoPluricanonical,
  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},
  url = {https://www.math.kyoto-u.ac.jp/~fujino/fg-comp-final.pdf},
  note = {Theorem 1.1 (finiteness of log pluricanonical representations); Theorem 1.5, restated as Theorem 4.3 (projective slc gluing). Final author version: \url{https://www.math.kyoto-u.ac.jp/~fujino/fg-comp-final.pdf}}
}

@misc{FujinoAnalyticMMP,
  author = {Fujino, Osamu},
  title = {Minimal model program for projective morphisms between complex analytic spaces},
  year = {2022},
  eprint = {2201.11315},
  archivePrefix = {arXiv},
  note = {Version 1, 27 January 2022; theorem numbering follows this version},
  url = {https://arxiv.org/abs/2201.11315v1},
  howpublished = {\url{https://arxiv.org/abs/2201.11315v1}}
}

@misc{FujinoAnalyticCone,
  author = {Fujino, Osamu},
  title = {Cone and contraction theorem for projective morphisms between complex analytic spaces},
  year = {2023},
  note = {Author manuscript, version 0.00, 9 October 2023; Theorem 4.3.1 and Remark 4.3.4},
  url = {https://www.math.kyoto-u.ac.jp/~fujino/cone-and-contraction.pdf},
  howpublished = {\url{https://www.math.kyoto-u.ac.jp/~fujino/cone-and-contraction.pdf}}
}

@article{KawamataTerminalDiscrepancy,
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@article{DPSHardLefschetz,
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@article{KebekusSchnellExtension,
  author = {Kebekus, Stefan and Schnell, Christian},
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@article{BoucksomDivisorialZariski,
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}

@article{CCE,
  author = {Campana, Fr{\'e}d{\'e}ric and Claudon, Beno{\^i}t and Eyssidieux, Philippe},
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  number = {2},
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  url = {https://arxiv.org/abs/1302.5016v3}
}

@article{GongyoNumericallyTrivial,
  author = {Gongyo, Yoshinori},
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@incollection{KollarSources,
  author = {Koll{\'a}r, J{\'a}nos},
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}

@misc{DasSDLT,
  author = {Das, Swapnajit},
  title = {Failure of the semi log canonical abundance for compact {K\"ahler} threefolds},
  year = {2026},
  eprint = {2604.28085},
  archivePrefix = {arXiv},
  note = {Version 1, 30 April 2026. Version 2 has a different title and revised claims; this record identifies the exact comparison source},
  url = {https://arxiv.org/abs/2604.28085v1},
  howpublished = {\url{https://arxiv.org/abs/2604.28085v1}}
}

@article{KeelMatsukiMcKernan,
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@article{KeelMatsukiMcKernanCorrection,
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@article{KawamataViehwegVanishing,
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}

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@book{BirationalGeometry,
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@book{ThreefoldFlipsAbundance,
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@book{SerreArithmetic,
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@misc{DemaillyComplexAnalyticGeometry,
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  howpublished = {\url{https://www-fourier.univ-grenoble-alpes.fr/~demailly/manuscripts/agbook.pdf}}
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@article{HironakaResolution,
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@article{VarouchasKahler,
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@article{BDPP,
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@article{DemaillyRegularization,
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@article{GuedjZeriahiCapacity,
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@article{DemaillyKollar,
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@incollection{DemaillyL2,
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@article{SkodaIntegrability,
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@article{AubinMongeAmpere,
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@article{YauCalabi,
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@book{AubinBook1998,
  author = {Aubin, Thierry},
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@article{HPMinimalModels,
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@misc{HLLNonvanishing,
  author = {H{\"o}ring, Andreas and Lazi{\'c}, Vladimir and Lehn, Christian},
  title = {Nonvanishing results for {K{\"a}hler} varieties},
  year = {2025},
  eprint = {2508.14634},
  archivePrefix = {arXiv},
  primaryClass = {math.AG},
  note = {Version 2, 21 October 2025},
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@article{DHPFourfoldMMP,
  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},
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  year = {2024},
  pages = {109615},
  doi = {10.1016/j.aim.2024.109615},
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@article{BCHM,
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  doi = {10.1090/S0894-0347-09-00649-3},
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@article{CHPAbundance,
  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},
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@misc{CHPAbundanceErratum,
  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},
  doi = {10.48550/arXiv.2304.10161},
  url = {https://arxiv.org/abs/2304.10161v1},
  howpublished = {\url{https://arxiv.org/abs/2304.10161v1}},
  note = {Version 1, 20 April 2023}
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@article{GuenanciaPaunBogomolovGieseker,
  author = {Guenancia, Henri and P{\u a}un, Mihai},
  title = {{Bogomolov--Gieseker} inequality for log terminal {K{\"a}hler} threefolds},
  journal = {Communications on Pure and Applied Mathematics},
  volume = {78},
  number = {11},
  year = {2025},
  pages = {2206--2244},
  doi = {10.1002/cpa.70000},
  eprint = {2405.10003},
  archivePrefix = {arXiv},
  primaryClass = {math.AG},
  note = {With an appendix by Fr{\'e}d{\'e}ric Campana, Andreas H{\"o}ring, and Thomas Peternell}
}

@article{DemaillyPeternellNonvanishing,
  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},
  url = {https://arxiv.org/abs/math/0208021}
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@misc{Touzet2014,
  author = {Touzet, Fr{\'e}d{\'e}ric},
  title = {Feuilletages holomorphes admettant une mesure transverse invariante},
  year = {2014},
  eprint = {1409.3445},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/1409.3445v1},
  howpublished = {\url{https://arxiv.org/abs/1409.3445v1}}
}

@misc{Vikash2026,
  author = {Vikash, Pisya},
  title = {Classification of Smooth Minimal {K\"ahler} Fourfolds Without Effective Divisors and Surfaces},
  year = {2026},
  eprint = {2607.04536},
  archivePrefix = {arXiv},
  note = {Version 1, 5 July 2026},
  howpublished = {\url{https://arxiv.org/abs/2607.04536v1}}
}