@misc{LogAbundance2026,
  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},
  note = {Corollary 11.2}
}

@article{CP2011,
  author = {Campana, Fr{\'e}d{\'e}ric and Peternell, Thomas},
  title = {Geometric stability of the cotangent bundle and the universal cover of a projective manifold},
  journal = {Bulletin de la Soci{\'e}t{\'e} Math{\'e}matique de France},
  volume = {139},
  number = {1},
  year = {2011},
  pages = {41--74},
  doi = {10.24033/bsmf.2599},
  url = {https://doi.org/10.24033/bsmf.2599},
  note = {With an appendix by Matei Toma}
}

@misc{Kim2025,
  author = {Kim, Hyunsuk},
  title = {Canonical bundle formula and a conjecture on certain algebraic fiber spaces by {Schnell}},
  year = {2025},
  howpublished = {\url{https://arxiv.org/abs/2412.19769v4}},
  eprint = {2412.19769v4},
  archivePrefix = {arXiv},
  primaryClass = {math.AG},
  url = {https://arxiv.org/abs/2412.19769v4},
  note = {Version 4, October 8, 2025; Conjecture 1.2, Theorem 1.3, and Section 1.3}
}

@misc{Schnell2022,
  author = {Schnell, Christian},
  title = {Singular metrics and a conjecture by {Campana} and {Peternell}},
  year = {2022},
  howpublished = {\url{https://arxiv.org/abs/2202.01295v1}},
  eprint = {2202.01295v1},
  archivePrefix = {arXiv},
  primaryClass = {math.AG},
  url = {https://arxiv.org/abs/2202.01295v1},
  note = {Version 1; numbering follows this version (Conjecture 1.1, Sections 4--10, Lemma 7.1, Conjecture 10.1, and Theorem 12.1). Published in Pure Appl. Math. Q. 21 (2025), no. 3, 1269--1281, doi:10.4310/PAMQ.250116023222}
}

@misc{Zou2025,
  author = {Zou, Yongpan},
  title = {On the {Kodaira} dimension of some algebraic fiber spaces},
  year = {2025},
  howpublished = {\url{https://arxiv.org/abs/2409.19981v4}},
  eprint = {2409.19981v4},
  archivePrefix = {arXiv},
  primaryClass = {math.AG},
  url = {https://arxiv.org/abs/2409.19981v4},
  note = {Version 4, December 21, 2025; Theorems 1.3 and 5.1}
}

@article{PopaSchnell2014,
  author = {Popa, Mihnea and Schnell, Christian},
  title = {On direct images of pluricanonical bundles},
  journal = {Algebra \& Number Theory},
  volume = {8},
  number = {9},
  year = {2014},
  pages = {2273--2295},
  doi = {10.2140/ant.2014.8.2273},
  url = {https://msp.org/ant/2014/8-9/ant-v8-n9-p06-p.pdf},
  note = {Lemma 4.6}
}

@book{Fulton1998,
  author = {Fulton, William},
  title = {Intersection Theory},
  edition = {Second},
  series = {Ergebnisse der Mathematik und ihrer Grenzgebiete, 3. Folge},
  volume = {2},
  publisher = {Springer-Verlag},
  address = {New York},
  year = {1998},
  doi = {10.1007/978-1-4612-1700-8},
  url = {https://doi.org/10.1007/978-1-4612-1700-8}
}

@book{Hartshorne1977,
  author = {Hartshorne, Robin},
  title = {Algebraic Geometry},
  series = {Graduate Texts in Mathematics},
  volume = {52},
  publisher = {Springer-Verlag},
  address = {New York},
  year = {1977},
  doi = {10.1007/978-1-4757-3849-0},
  url = {https://doi.org/10.1007/978-1-4757-3849-0}
}

@article{Hironaka1964,
  author = {Hironaka, Heisuke},
  title = {Resolution of singularities of an algebraic variety over a field of characteristic zero. {I}, {II}},
  journal = {Annals of Mathematics. Second Series},
  volume = {79},
  year = {1964},
  pages = {109--203, 205--326},
  note = {Part I: doi:10.2307/1970486; Part II: doi:10.2307/1970547},
  url = {https://doi.org/10.2307/1970486}
}

@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://www.ams.org/jams/2010-23-02/S0894-0347-09-00649-3/viewer/},
  note = {Definitions 3.6.1 and 3.6.7 in the published version}
}