@article{BogomolovKatzarkov1998,
  author = {Bogomolov, Fedor and Katzarkov, Ludmil},
  title = {Complex projective surfaces and infinite groups},
  journal = {Geometric and Functional Analysis},
  volume = {8},
  number = {2},
  year = {1998},
  pages = {243--272},
  doi = {10.1007/s000390050055},
  url = {https://arxiv.org/abs/alg-geom/9703002v2}
}

@misc{OpenAIAbelianity2026,
  author = {{OpenAI}},
  title = {{The abelianity conjecture for special compact K\"ahler manifolds}},
  howpublished = {OpenAI Math Release preprint
    \href{https://github.com/openai/math/blob/main/preprints/The-abelianity-conjecture-for-special-compact-Kahler-manifolds-September-23-2026/paper.pdf}{OAI:The-abelianity-conjecture-for-special-compact-Kahler-manifolds-September-23-2026}},
  year = {2026}
}

@misc{OpenAISemialgebraicCovers2026,
  author = {{OpenAI}},
  title = {{Semialgebraic universal covers of normal projective varieties}},
  howpublished = {OpenAI Math Release preprint
    \href{https://github.com/openai/math/blob/main/preprints/Semialgebraic-universal-covers-of-normal-projective-varieties-September-24-2026/paper.pdf}{OAI:Semialgebraic-universal-covers-of-normal-projective-varieties-September-24-2026}},
  year = {2026}
}

@article{EyssidieuxKatzarkovPantevRamachandran2012,
  author = {Eyssidieux, Philippe and Katzarkov, Ludmil and Pantev, Tony and Ramachandran, Mohan},
  title = {Linear {Shafarevich} conjecture},
  journal = {Annals of Mathematics},
  volume = {176},
  number = {3},
  year = {2012},
  pages = {1545--1581},
  doi = {10.4007/annals.2012.176.3.4},
  url = {https://annals.math.princeton.edu/2012/176-3/p04}
}


@article{GolodShafarevich1964,
  author = {Golod, E. S. and Shafarevich, I. R.},
  title = {On the class field tower},
  journal = {Izvestiya Akademii Nauk SSSR. Seriya Matematicheskaya},
  volume = {28},
  number = {2},
  year = {1964},
  pages = {261--272},
  note = {In Russian},
  url = {https://www.mathnet.ru/eng/im2955}
}

@article{ErshovJaikinZapirain2013,
  author = {Ershov, Mikhail and Jaikin-Zapirain, Andrei},
  title = {Groups of positive weighted deficiency and their applications},
  journal = {Journal f{\"u}r die reine und angewandte Mathematik},
  volume = {677},
  year = {2013},
  pages = {71--134},
  eprint = {1007.1489v3},
  archivePrefix = {arXiv},
  primaryClass = {math.GR},
  url = {https://arxiv.org/abs/1007.1489v3}
}

@book{SGA1,
  author = {Grothendieck, Alexander and others},
  title = {Rev{\^e}tements {\'e}tales et groupe fondamental ({SGA} 1)},
  series = {Documents Math{\'e}matiques},
  volume = {3},
  publisher = {Soci{\'e}t{\'e} Math{\'e}matique de France},
  year = {2003},
  note = {Revised edition of Lecture Notes in Mathematics 224 (1971)},
  url = {https://arxiv.org/abs/math/0206203v2}
}

@article{Lojasiewicz1964,
  author = {{\L}ojasiewicz, Stanis{\l}aw},
  title = {Triangulation of semi-analytic sets},
  journal = {Annali della Scuola Normale Superiore di Pisa, Classe di Scienze (3)},
  volume = {18},
  number = {4},
  year = {1964},
  pages = {449--474},
  url = {https://numdam.org/item/ASNSP_1964_3_18_4_449_0/}
}

@article{EncinasHauser2002,
  author = {Encinas, Santiago and Hauser, Herwig},
  title = {Strong resolution of singularities in characteristic zero},
  journal = {Commentarii Mathematici Helvetici},
  volume = {77},
  number = {4},
  year = {2002},
  pages = {821--845},
  doi = {10.1007/PL00012443},
  url = {https://ems.press/journals/cmh/articles/377}
}

@misc{StacksProject,
  author = {{The Stacks Project Authors}},
  title = {The {Stacks Project}},
  year = {2026},
  note = {Accessed 1 October 2026},
  url = {https://stacks.math.columbia.edu/}
}


@article{Ershov2011,
  author = {Ershov, Mikhail},
  title = {Kazhdan quotients of {Golod--Shafarevich} groups},
  journal = {Proceedings of the London Mathematical Society (3)},
  volume = {102},
  number = {4},
  year = {2011},
  pages = {599--636},
  doi = {10.1112/plms/pdq022},
  url = {https://m-ershov.github.io/Research/gosha_Kazhdan_lms_revised.pdf}
}

@article{Vinberg1965,
  author = {Vinberg, {\`E}. B.},
  title = {On the theorem concerning the infinite-dimensionality of an associative algebra},
  journal = {Izvestiya Akademii Nauk SSSR. Seriya Matematicheskaya},
  volume = {29},
  number = {1},
  year = {1965},
  pages = {209--214},
  note = {In Russian},
  url = {https://www.mathnet.ru/eng/im2905}
}

@article{Golod1964,
  author = {Golod, E. S.},
  title = {On nil-algebras and finitely approximable {$p$}-groups},
  journal = {Izvestiya Akademii Nauk SSSR. Seriya Matematicheskaya},
  volume = {28},
  number = {2},
  year = {1964},
  pages = {273--276},
  note = {In Russian},
  url = {https://www.mathnet.ru/eng/im2956}
}


@book{Shafarevich1974,
  author = {Shafarevich, Igor R.},
  title = {Basic Algebraic Geometry},
  publisher = {Springer-Verlag},
  address = {Berlin, Heidelberg},
  year = {1974},
  doi = {10.1007/978-3-642-96200-4},
  url = {https://link.springer.com/book/10.1007/978-3-642-96200-4}
}

@article{LasellRamachandran1996,
  author = {Lasell, Brendon and Ramachandran, Mohan},
  title = {Observations on harmonic maps and singular varieties},
  journal = {Annales scientifiques de l'\'Ecole Normale Sup\'erieure},
  series = {4},
  volume = {29},
  number = {2},
  year = {1996},
  pages = {135--148},
  doi = {10.24033/asens.1737},
  url = {https://www.numdam.org/item/ASENS_1996_4_29_2_135_0/}
}

@article{KatzarkovRamachandran1998,
  author = {Katzarkov, Ludmil and Ramachandran, Mohan},
  title = {On the universal coverings of algebraic surfaces},
  journal = {Annales scientifiques de l'\'Ecole Normale Sup\'erieure},
  series = {4},
  volume = {31},
  number = {4},
  year = {1998},
  pages = {525--535},
  doi = {10.1016/S0012-9593(98)80105-5},
  url = {https://www.numdam.org/item/ASENS_1998_4_31_4_525_0/}
}

@article{GurjarShastri1985,
  author = {Gurjar, R. V. and Shastri, A. R.},
  title = {Covering spaces of an elliptic surface},
  journal = {Compositio Mathematica},
  volume = {54},
  number = {1},
  year = {1985},
  pages = {95--104},
  url = {https://www.numdam.org/item/CM_1985__54_1_95_0/}
}

@article{Katzarkov1997,
  author = {Katzarkov, Ludmil},
  title = {Nilpotent groups and universal coverings of smooth projective varieties},
  journal = {Journal of Differential Geometry},
  volume = {45},
  number = {2},
  year = {1997},
  pages = {336--348},
  doi = {10.4310/jdg/1214459801},
  eprint = {alg-geom/9510009},
  archivePrefix = {arXiv},
  url = {https://doi.org/10.4310/jdg/1214459801}
}

@article{Eyssidieux2004,
  author = {Eyssidieux, Philippe},
  title = {Sur la convexit\'e holomorphe des rev\^etements lin\'eaires r\'eductifs d'une vari\'et\'e projective alg\'ebrique complexe},
  journal = {Inventiones mathematicae},
  volume = {156},
  number = {3},
  year = {2004},
  pages = {503--564},
  doi = {10.1007/s00222-003-0345-0},
  url = {https://link.springer.com/article/10.1007/s00222-003-0345-0}
}

@article{CampanaClaudonEyssidieux2015,
  author = {Campana, Fr\'ed\'eric and Claudon, Beno\^{i}t and Eyssidieux, Philippe},
  title = {Repr\'esentations lin\'eaires des groupes k\"ahl\'eriens : factorisations et conjecture de {Shafarevich} lin\'eaire},
  journal = {Compositio Mathematica},
  volume = {151},
  number = {2},
  year = {2015},
  pages = {351--376},
  doi = {10.1112/S0010437X14007751},
  url = {https://doi.org/10.1112/S0010437X14007751}
}

@misc{EyssidieuxFunar,
  author = {Eyssidieux, Philippe and Funar, Louis},
  title = {Orbifold {K\"ahler} groups related to mapping class groups},
  year = {2025},
  howpublished = {Author-hosted preprint},
  note = {Revision dated September 30, 2025; initial version arXiv:2112.06726 (2021)},
  url = {https://www-fourier.univ-grenoble-alpes.fr/~funar/mcgokahgpv25.pdf}
}

@misc{DengYamanoi2024,
  author = {Deng, Ya and Yamanoi, Katsutoshi},
  title = {Reductive {Shafarevich} conjecture},
  year = {2024},
  eprint = {2306.03070v2},
  archivePrefix = {arXiv},
  primaryClass = {math.AG},
  doi = {10.48550/arXiv.2306.03070},
  note = {Version 2, May 29, 2024; with an appendix joint with Ludmil Katzarkov},
  url = {https://arxiv.org/abs/2306.03070v2}
}

@misc{BakkerBrunebarbeTsimerman2026,
  author = {Bakker, Benjamin and Brunebarbe, Yohan and Tsimerman, Jacob},
  title = {The linear {Shafarevich} conjecture for quasiprojective varieties and algebraicity of {Shafarevich} morphisms},
  year = {2026},
  howpublished = {Author-hosted preprint},
  note = {Revision dated September 9, 2026, 134 pp.; initial version arXiv:2408.16441 (2024)},
  url = {https://benjamin-bakker.github.io/Shafarevich.pdf}
}

@article{ColtoiuJoita2011,
  author = {Col{\c{t}}oiu, Mihnea and Joi{\c{t}}a, Cezar},
  title = {The disk property of coverings of 1-convex surfaces},
  journal = {Proceedings of the American Mathematical Society},
  volume = {140},
  number = {2},
  year = {2012},
  pages = {575--580},
  eprint = {1104.1077v1},
  archivePrefix = {arXiv},
  primaryClass = {math.CV},
  url = {https://arxiv.org/abs/1104.1077v1}
}

@article{Campana1994,
  author = {Campana, Fr{\'e}d{\'e}ric},
  title = {Remarques sur le rev{\^e}tement universel des vari{\'e}t{\'e}s k{\"a}hl{\'e}riennes compactes},
  journal = {Bulletin de la Soci{\'e}t{\'e} Math{\'e}matique de France},
  volume = {122},
  number = {2},
  year = {1994},
  pages = {255--284},
  doi = {10.24033/bsmf.2232},
  url = {https://www.numdam.org/item/10.24033/bsmf.2232.pdf}
}

@article{Campana2004,
  author = {Campana, Fr{\'e}d{\'e}ric},
  title = {Orbifolds, special varieties and classification theory},
  journal = {Annales de l'Institut Fourier},
  volume = {54},
  number = {3},
  year = {2004},
  pages = {499--630},
  doi = {10.5802/aif.2027},
  url = {https://www.numdam.org/item/10.5802/aif.2027.pdf}
}

@article{Kollar1993,
  author = {Koll{\'a}r, J{\'a}nos},
  title = {{Shafarevich} maps and plurigenera of algebraic varieties},
  journal = {Inventiones mathematicae},
  volume = {113},
  number = {1},
  year = {1993},
  pages = {177--215},
  doi = {10.1007/BF01244307},
  url = {https://doi.org/10.1007/BF01244307}
}