@article{canonical,
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  pages={167--188},
  year={2000},
  publisher={Lehigh University},
  url={\url{https://www.math.kyoto-u.ac.jp/~fujino/Canonical.pdf}}
}
@inproceedings{KLSV,
  Author = {Koll{\'a}r, J{\'a}nos and Laza, Radu and Sacc{\`a}, Giulia and Voisin, Claire},
 Title = {Remarks on degenerations of hyper-{K{\"a}hler} manifolds},
 journal = {Annales de l'Institut Fourier},
 ISSN = {0373-0956},
 Volume = {68},
 Number = {7},
 Pages = {2837--2882},
 Year = {2018}
}

@article{fujino,
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  year={2011}
}

@book{KM, place={Cambridge}, series={Cambridge Tracts in Mathematics}, title={Birational Geometry of Algebraic Varieties}, publisher={Cambridge University Press}, author={Kollár, János and Mori, Shigefumi}, year={1998}, volume={134}, collection={Cambridge Tracts in Mathematics}}

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 Title = {Singularities of the minimal model program.},
 series = {Cambridge Tracts in Mathematics},
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 Volume = {200},
 ISBN = {978-1-107-03534-8; 978-1-139-54789-5},
 Year = {2013},
 Publisher = {Cambridge University Press}
}
@article{PP,
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@article{kawamata,
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  year={2008},
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}
@incollection{KMM,
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  year={1987},
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}
@article{deFernex,
  title={The dual complex of singularities},
  author={de Fernex, Tommaso and Koll{\'a}r, J{\'a}nos and Xu, Chenyang},
  journal={Higher dimensional algebraic geometry—in honour of Professor Yujiro Kawamata’s sixtieth birthday},
  volume={74},
  pages={103--129},
  year={2017}
}

@article{kollarxu,
   title={The dual complex of {C}alabi–{Y}au pairs},
   volume={205},
   ISSN={1432-1297},
   url={http://dx.doi.org/10.1007/s00222-015-0640-6},
   DOI={10.1007/s00222-015-0640-6},
   number={3},
   journal={Inventiones mathematicae},
   publisher={Springer Science and Business Media LLC},
   author={Kollár, János and Xu, Chenyang},
   year={2015},
   month=dec, pages={527–557} }
@article{reid,
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@article{namikawa,
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@article{kawamata85,
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  year={1985},
  volume={1985},
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  url={https://api.semanticscholar.org/CorpusID:116957463}
}
@misc{grassi,
      title={On topological invariants of algebraic threefolds with ($\mathbb Q$-factorial) singularities}, 
      author={Antonella Grassi and Timo Weigand},
      year={2018},
      eprint={1804.02424},
      archivePrefix={arXiv},
      primaryClass={math.AG}
}
@misc{schwald,
      title={Low degree {H}odge theory for klt varieties}, 
      author={Martin Schwald},
      year={2016},
      eprint={1612.01919},
      archivePrefix={arXiv},
      primaryClass={math.AG}
}
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  publisher={Oxford University Press},
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  volume={35}
}

@inproceedings{vaquie,
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  number={4},
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@article{artin,
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@article{kollarthreefolds,
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@article{factorial,
 ISSN = {0003486X, 19398980},
 URL = {http://www.jstor.org/stable/1971417},
 author = {Kawamata, Yujiro},
 journal = {Annals of Mathematics},
 number = {1},
 pages = {93--163},
 publisher = {[Annals of Mathematics, Trustees of Princeton University on Behalf of the Annals of Mathematics, Mathematics Department, Princeton University]},
 title = {Crepant blowing-up of 3-dimensional canonical Singularities and its application to degenerations of surfaces},
 volume = {127},
 year = {1988}
}

@article{friedmanbase,
  title={Base change, automorphisms, and stable reduction for type {III} {K}3 surfaces},
  author={Friedman, Robert},
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  volume={29},
  pages={277--298},
  year={1983}
}


@book{mumford,
  Author = {Kempf, G. and Knudsen, F. and Mumford, D. and Saint-Donat, Bernard},
 Title = {Toroidal embeddings. {I}},
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 Volume = {339},
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  year={2016},
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@article{counterexample,
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 Year = {1999}
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@article{moriflip,
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  year={1988},
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@article{positive,
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  pages={463},
  year={1994}
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@article{realkollarI,
   Author = {Koll{\'a}r, J{\'a}nos},
 Title = {Real algebraic threefolds. {I}: {Terminal} singularities},
 Journal = {Collectanea Mathematica},
 ISSN = {0010-0757},
 Volume = {49},
 Number = {2-3},
 Pages = {335--360},
 Year = {1998}
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@article{steenbrink,
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  number={3},
  pages={315--320},
  year={1980}
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@article{steenbrinkLMHS,
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  number={3},
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  year={1976},
  publisher={Springer-Verlag Berlin/Heidelberg}
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@book{deligne,
  title={Th{\'e}orie de {H}odge},
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  year={1970},
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@article{schmid,
  title={Variation of {H}odge structure: the singularities of the period mapping},
  author={Schmid, Wilfried},
  journal={Inventiones mathematicae},
  volume={22},
  number={3},
  pages={211--319},
  year={1973},
  publisher={Springer-Verlag Berlin/Heidelberg}
}

@article{nicaise,
  title={The non-archimedean {SYZ}fibration},
  author={Nicaise, Johannes and Xu, Chenyang and Yu, Tony Yue},
  journal={Compositio Mathematica},
  volume={155},
  number={5},
  pages={953--972},
  year={2019},
  publisher={London Mathematical Society}
}

@book{friedman,
  title={The Birational Geometry of Degenerations},
  author={Friedman, Robert and Morrison, David R.},
  series={Progress in mathematics},
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  year={1983},
  publisher={Birkh{\"a}user}
}
@book{badescu,
author="B{\u{a}}descu, Lucian",
title="Algebraic {S}urfaces",
bookTitle="Algebraic Surfaces",
year="2001",
publisher="Springer New York",
address="New York, NY",
isbn="978-1-4757-3512-3",
}

@book{persson,
   Author = {Persson, Ulf},
 Title = {On degenerations of algebraic surfaces},
 series = {Memoirs of the American Mathematical Society},
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 Volume = {189},
 ISBN = {978-0-8218-2189-3; 978-1-4704-0103-0},
 Year = {1977},
 Publisher = {American Mathematical Society},
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@article{albanese,
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  journal={Mathematische Annalen},
  volume={340},
  pages={805--838},
  year={2008},
  publisher={Springer}
}


@book{ADEtoric,
  title={Toric varieties},
  author={Cox, David A and Little, John B and Schenck, Henry K},
  volume={124},
  year={2024},
  publisher={American Mathematical Society}
}

@book{beauville,
  title={Complex algebraic surfaces},
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  year={1996},
  publisher={Cambridge University Press}
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@book{fulton,
 Author = {Fulton, William},
 Title = {Introduction to toric varieties},
 series = {Annals of Mathematics Studies},
 Series = {Ann. Math. Stud.},
 Volume = {131},
 ISBN = {0-691-00049-2},
 Year = {1993},
 Publisher = {Princeton, NJ: Princeton University Press}
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@misc{milne,
author={Milne, James S.},
title={Abelian Varieties (v2.00)},
year={2008},
note={Available at www.jmilne.org/math/},
pages={166+vi}
}

@article{boucksom,
Author = {Boucksom, S{\'e}bastien and Favre, Charles and Jonsson, Mattias},
 Title = {Singular semipositive metrics in non-{Archimedean} geometry},
 FJournal = {Journal of Algebraic Geometry},
 Journal = {J. Algebr. Geom.},
 ISSN = {1056-3911},
 Volume = {25},
 Number = {1},
 Pages = {77--139},
 Year = {2016}
}

@inproceedings{nicaiseberk,
  title={Berkovich skeleta and birational geometry},
  author={Nicaise, Johannes},
  booktitle={Nonarchimedean and tropical geometry},
  pages={173--194},
  year={2016},
  organization={Springer}
}

@article{shokurov,
Author = {Iskovskikh, Vasily A. and Shokurov, Vyacheslav V.},
 Title = {Birational models and flips.},
 Journal = {Russian Mathematical Surveys},
 ISSN = {0036-0279},
 Volume = {60},
 Number = {1},
 Pages = {27--94},
 Year = {2005}
}

@Article{shokurovsing,
 Author = {Shokurov, Vyacheslav V.},
 Title = {Semistable 3-fold flips},
 Journal = {Russian Academy of Sciences. Izvestiya. Mathematics},
 ISSN = {1064-5632},
 Volume = {42},
 Number = {2},
 Pages = {371--425},
 Year = {1993}
 }
 
 @Article{bchm,
 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},
 ISSN = {0894-0347},
 Volume = {23},
 Number = {2},
 Pages = {405--468},
 Year = {2010}
 }
 
 @article{zhang,
 author = {Zhang, Yuguang},
 title = {Collapsing of {Calabi}-{Yau} manifolds and special {Lagrangian} submanifolds},
 fjournal = {Zeszyty Naukowe Uniwersytetu Jagiello{\'n}skiego. Universitatis Iagellonicae Acta Mathematica},
 journal = {Zesz. Nauk. Uniw. Jagiell., Univ. Iagell. Acta Math.},
 issn = {0083-4386},
 volume = {54},
 pages = {53--78},
 year = {2017}
 }
 
 @incollection{kontsevich,
 author = {Kontsevich, Maxim and Soibelman, Yan},
 title = {Homological mirror symmetry and torus fibrations.},
 booktitle = {Symplectic geometry and mirror symmetry. Proceedings of the 4th KIAS annual international conference, Seoul, South Korea, August 14--18, 2000},
 isbn = {981-02-4714-1},
 pages = {203--263},
 year = {2001},
 publisher = {Singapore: World Scientific},
 language = {English}
 }
 
 @article{metricli,
 author = {Li, Yang},
 title = {Metric {SYZ} conjecture and non-{Archimedean} geometry},
 journal = {Duke Mathematical Journal},
 issn = {0012-7094},
 volume = {172},
 number = {17},
 pages = {3227--3255},
 year = {2023}
 }
 
 @misc{surveyli,
 author = {Li, Yang},
 title = {Survey on the metric {SYZ} conjecture and non-archimedean geometry},
 year = {2022},
 howpublished = {Preprint, {arXiv}:2204.11363 [math.{AG}] (2022)},
 doi = {10.1142/S0217751X22300095},
 url = {https://arxiv.org/abs/2204.11363},
 arXiv = {arXiv:2204.11363}
}

@article{solutionboucksom,
 author = {Boucksom, S{\'e}bastien and Favre, Charles and Jonsson, Mattias},
 title = {Solution to a non-{Archimedean} {Monge}-{Amp{\`e}re} equation},
 fjournal = {Journal of the American Mathematical Society},
 journal = {J. Am. Math. Soc.},
 issn = {0894-0347},
 volume = {28},
 number = {3},
 pages = {617--667},
 year = {2015}
 }
 
 @misc{javierpelka,
 author = {Fern{\'a}ndez de Bobadilla, Javier and Pe{\l}ka, Tomasz},
 title = {Fibrations by {Lagrangian} tori for maximal {Calabi}-{Yau} degenerations and beyond},
 year = {2023},
 howpublished = {Preprint, {arXiv}:2312.13248 [math.{AG}] (2023)},
 keywords = {14D06,14J32,32Q25,53C23,53D12},
 url = {https://arxiv.org/abs/2312.13248},
 arXiv = {arXiv:2312.13248}
}

@article{mustatanicaise,
 author = {Musta{\c{t}}{\u{a}}, Mircea and Nicaise, Johannes},
 title = {Weight functions on non-{Archimedean} analytic spaces and the {Kontsevich}-{Soibelman} skeleton},
 fjournal = {Algebraic Geometry},
 journal = {Algebr. Geom.},
 issn = {2313-1691},
 volume = {2},
 number = {3},
 pages = {365--404},
 year = {2015}
 }
 @misc{mazzon,
 author = {Mazzon, Enrica and Pille-Schneider, L{\'e}onard},
 title = {Toric geometry and integral affine structures in non-archimedean mirror symmetry},
 year = {2021},
 howpublished = {Preprint, {arXiv}:2110.04223 [math.{AG}] (2021)},
 keywords = {05E14,14J32,14J33,32P05},
 url = {https://arxiv.org/abs/2110.04223},
 arXiv = {arXiv:2110.04223}
}
@article{burgos,
 author = {Burgos Gil, Jos{\'e} Ignacio and Moriwaki, Atsushi and Philippon, Patrice and Sombra, Mart{\'{\i}}n},
 title = {Arithmetic positivity on toric varieties},
 fjournal = {Journal of Algebraic Geometry},
 journal = {J. Algebr. Geom.},
 issn = {1056-3911},
 volume = {25},
 number = {2},
 pages = {201--272},
 year = {2016}
 }

@article{vilsmeier,
 author = {Vilsmeier, Christian},
 title = {A comparison of the real and non-{Archimedean} {Monge}-{Amp{\`e}re} operator},
 fjournal = {Mathematische Zeitschrift},
 journal = {Math. Z.},
 issn = {0025-5874},
 volume = {297},
 number = {1-2},
 pages = {633--668},
 year = {2021}
 }