@article{Ambro04,
  author = {Ambro, Florin},
  title = {{Shokurov}'s boundary property},
  journal = {Journal of Differential Geometry},
  volume = {67},
  number = {2},
  year = {2004},
  pages = {229--255},
  doi = {10.4310/jdg/1102536201},
  url = {https://arxiv.org/abs/math/0210271},
  note = {\href{https://doi.org/10.4310/jdg/1102536201}{doi:10.4310/jdg/1102536201}}
}

@article{Ambro05,
  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},
  url = {https://arxiv.org/abs/math/0308143},
  note = {\href{https://doi.org/10.1112/S0010437X04001071}{doi:10.1112/S0010437X04001071}}
}

@article{BailyBorel66,
  author = {Baily, Jr., Walter L. and Borel, Armand},
  title = {Compactification of arithmetic quotients of bounded symmetric domains},
  journal = {Annals of Mathematics},
  series = {2},
  volume = {84},
  number = {3},
  year = {1966},
  pages = {442--528},
  doi = {10.2307/1970457},
  url = {https://annals.math.princeton.edu/1966/84-3/p11},
  note = {\href{https://doi.org/10.2307/1970457}{doi:10.2307/1970457}}
}

@misc{BFMT25,
  author = {Bakker, Benjamin and Filipazzi, Stefano and Mauri, Mirko and Tsimerman, Jacob},
  title = {{Baily--Borel} compactifications of period images and the b-semiampleness conjecture},
  year = {2025},
  eprint = {2508.19215v2},
  archivePrefix = {arXiv},
  primaryClass = {math.AG},
  url = {https://arxiv.org/abs/2508.19215v2},
  note = {\href{https://arxiv.org/abs/2508.19215v2}{arXiv:2508.19215v2}, 18 December 2025}
}

@article{Beauville83,
  author = {Beauville, Arnaud},
  title = {Vari{\'e}t{\'e}s {K}{\"a}hleriennes dont la premi{\`e}re classe de {Chern} est nulle},
  journal = {Journal of Differential Geometry},
  volume = {18},
  number = {4},
  year = {1983},
  pages = {755--782},
  doi = {10.4310/jdg/1214438181},
  url = {https://math.univ-cotedazur.fr/~beauvill/pubs/jdg.pdf},
  note = {\href{https://doi.org/10.4310/jdg/1214438181}{doi:10.4310/jdg/1214438181}}
}

@article{BM08,
  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},
  year = {2008},
  pages = {609--639},
  doi = {10.2977/PRIMS/1210167338},
  url = {https://ems.press/journals/prims/articles/2154},
  note = {\href{https://doi.org/10.2977/PRIMS/1210167338}{doi:10.2977/PRIMS/1210167338}}
}

@article{CK89,
  author = {Cattani, Eduardo and Kaplan, Aroldo},
  title = {Degenerating variations of {Hodge} structure},
  journal = {Ast{\'e}risque},
  volume = {179--180},
  year = {1989},
  pages = {67--96},
  url = {https://numdam.org/item/AST_1989__179-180__67_0/},
  note = {In {Th{\'e}orie de Hodge}, Luminy, June 1987.
    \href{https://numdam.org/item/AST_1989__179-180__67_0/}{Numdam}}
}

@article{Deligne71,
  author = {Deligne, Pierre},
  title = {Th{\'e}orie de {Hodge}, {II}},
  journal = {Publications Math{\'e}matiques de l'IH{\'E}S},
  volume = {40},
  year = {1971},
  pages = {5--57},
  doi = {10.1007/BF02684692},
  url = {https://www.numdam.org/item/PMIHES_1971__40__5_0/},
  note = {\href{https://doi.org/10.1007/BF02684692}{doi:10.1007/BF02684692}}
}

@misc{FF25,
  author = {Fujino, Osamu and Fujisawa, Taro},
  title = {Variation of mixed {Hodge} structure and its applications},
  year = {2025},
  eprint = {2304.00672v3},
  archivePrefix = {arXiv},
  primaryClass = {math.AG},
  url = {https://arxiv.org/abs/2304.00672v3},
  note = {\href{https://arxiv.org/abs/2304.00672v3}{arXiv:2304.00672v3}, 11 March 2025}
}

@article{Fujiki78,
  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://www.jstage.jst.go.jp/article/kyotoms1969/14/1/14_1_1/_article},
  note = {\href{https://doi.org/10.2977/prims/1195189279}{doi:10.2977/prims/1195189279}}
}

@article{Fujiki79,
  author = {Fujiki, Akira},
  title = {Countability of the {Douady} space of a complex space},
  journal = {Japanese Journal of Mathematics. New Series},
  volume = {5},
  number = {2},
  year = {1979},
  pages = {431--447},
  doi = {10.4099/math1924.5.431},
  url = {https://www.jstage.jst.go.jp/article/math1924/5/2/5_2_431/_article},
  note = {\href{https://doi.org/10.4099/math1924.5.431}{doi:10.4099/math1924.5.431}}
}

@article{FujinoGongyo14,
  author = {Fujino, Osamu and Gongyo, Yoshinori},
  title = {On the moduli b-divisors of lc-trivial fibrations},
  journal = {Annales de l'Institut Fourier},
  volume = {64},
  number = {4},
  year = {2014},
  pages = {1721--1735},
  doi = {10.5802/aif.2894},
  url = {https://www.numdam.org/item/AIF_2014__64_4_1721_0/},
  note = {\href{https://doi.org/10.5802/aif.2894}{doi:10.5802/aif.2894}}
}

@article{Kawamata81,
  author = {Kawamata, Yujiro},
  title = {Characterization of abelian varieties},
  journal = {Compositio Mathematica},
  volume = {43},
  number = {2},
  year = {1981},
  pages = {253--276},
  url = {https://www.numdam.org/item/CM_1981__43_2_253_0/},
  note = {\href{https://www.numdam.org/item/CM_1981__43_2_253_0/}{Numdam}}
}

@article{Kodaira54,
  author = {Kodaira, Kunihiko},
  title = {On {K}{\"a}hler varieties of restricted type (an intrinsic characterization of algebraic varieties)},
  journal = {Annals of Mathematics},
  series = {2},
  volume = {60},
  number = {1},
  year = {1954},
  pages = {28--48},
  doi = {10.2307/1969701},
  url = {https://www.jstor.org/stable/1969701},
  note = {\href{https://doi.org/10.2307/1969701}{doi:10.2307/1969701}}
}

@misc{MWWWZ25,
  author = {Matsumura, Shin-ichi and Wang, Juanyong and Wu, Xiaojun and Zhang, Qimin},
  title = {Compact {K}{\"a}hler manifolds with nef anti-canonical bundle},
  year = {2025},
  eprint = {2506.23218v1},
  archivePrefix = {arXiv},
  primaryClass = {math.AG},
  url = {https://arxiv.org/abs/2506.23218v1},
  note = {\href{https://arxiv.org/abs/2506.23218v1}{arXiv:2506.23218v1}, 29 June 2025}
}

@article{Schmid73,
  author = {Schmid, Wilfried},
  title = {Variation of {Hodge} structure: The singularities of the period mapping},
  journal = {Inventiones Mathematicae},
  volume = {22},
  number = {3--4},
  year = {1973},
  pages = {211--319},
  doi = {10.1007/BF01389674},
  url = {https://link.springer.com/article/10.1007/BF01389674},
  note = {\href{https://doi.org/10.1007/BF01389674}{doi:10.1007/BF01389674}}
}

@article{Toma11,
  author = {Toma, Matei},
  title = {Bounded sets of sheaves on {K}{\"a}hler manifolds},
  journal = {Journal f{\"u}r die reine und angewandte Mathematik},
  volume = {710},
  year = {2016},
  pages = {77--93},
  doi = {10.1515/crelle-2013-0093},
  eprint = {1103.5835v3},
  archivePrefix = {arXiv},
  primaryClass = {math.CV},
  url = {https://arxiv.org/abs/1103.5835v3},
  note = {\href{https://doi.org/10.1515/crelle-2013-0093}{doi:10.1515/crelle-2013-0093}.
    Preprint \href{https://arxiv.org/abs/1103.5835v3}{arXiv:1103.5835v3}}
}

@misc{Villadsen24,
  author = {Villadsen, Mads Bach},
  title = {{Hodge} modules and {K}{\"a}hler morphisms},
  year = {2024},
  eprint = {2401.09544v1},
  archivePrefix = {arXiv},
  primaryClass = {math.AG},
  url = {https://arxiv.org/abs/2401.09544v1},
  note = {\href{https://arxiv.org/abs/2401.09544v1}{arXiv:2401.09544v1}, 17 January 2024}
}