syz_conjecture/referencies.bib

@article{canonical,
  title={A canonical bundle formula},
  author={Fujino, Osamu and Mori, Shigefumi},
  journal={Journal of Differential Geometry},
  volume={56},
  number={1},
  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,
  title={Semi-stable minimal model program for varieties with trivial canonical divisor},
  author={Fujino, Osamu},
  pages={25-30},
  volume={87},
  number={3},
  journal={Proc. Japan Acad. Ser. A Math. Sci.},
  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}}

@book{kollar,
  Author = {Koll{\'a}r, J{\'a}nos},
 Title = {Singularities of the minimal model program.},
 series = {Cambridge Tracts in Mathematics},
 ISSN = {0950-6284},
 Volume = {200},
 ISBN = {978-1-107-03534-8; 978-1-139-54789-5},
 Year = {2013},
 Publisher = {Cambridge University Press}
}
@article{PP,
  title={Degeneration of surfaces with trivial canonical bundle},
  author={Persson, Ulf and Pinkham, Henry},
  journal={Annals of Mathematics},
  pages={45--66},
  volume={113},
  year={1981},
  publisher={JSTOR}
}
@article{kulikov,
  title={Degenerations of {K}3 surfaces and {E}nriques surfaces},
  author={Kulikov, Viktor},
  journal={Mathematics of the USSR-Izvestiya},
  volume={11},
  number={5},
  pages={957},
  year={1977},
  publisher={IOP Publishing}
}
@article{kawamata,
  title={Flops connect minimal models},
  author={Kawamata, Yujiro},
  journal={Publications of the research institute for mathematical sciences},
  volume={44},
  number={2},
  pages={419--423},
  year={2008},
  url={arXiv:0704.1013}
}
@incollection{KMM,
  title={Introduction to the minimal model problem},
  author={Kawamata, Yujiro and Matsuda, Katsumi and Matsuki, Kenji},
  booktitle={Algebraic geometry, Sendai, 1985},
  volume={10},
  pages={283--361},
  year={1987},
  publisher={Mathematical Society of Japan}
}
@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,
  title={Young person’s guide to canonical singularities},
  author={Reid, Miles},
  journal={Algebraic geometry, Bowdoin},
  volume={46},
  pages={345--414},
  year={1985}
}
@article{namikawa,
  title={Global smoothing of {C}alabi-{Y}au threefolds},
  author={Namikawa, Yoshinori and Steenbrink, Joseph},
  journal={Inventiones mathematicae},
  year={1995},
  volume={122},
  pages={403-419},
  url={https://api.semanticscholar.org/CorpusID:122698510}
}
@article{kawamata85,
  title={Minimal models and the {K}odaira dimension of algebraic fiber spaces.},
  author={Yūjirō Kawamata},
  journal={Journal f{\"u}r die reine und angewandte Mathematik (Crelles Journal)},
  year={1985},
  volume={1985},
  pages={1 - 46},
  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}
}
@article{fujinodlt,
  title={{W}hat is log terminal?},
  journal={Flips for 3-folds and 4-folds},
  author={{F}ujino, {O}samu},
  year={2007},
  pages={49-62},
  publisher={Oxford University Press},
  series={Oxford Lecture Ser. Math. Appl.},
  volume={35}
}

@inproceedings{vaquie,
  title={R{\'e}solution simultan{\'e}e d'une famille de singularit{\'e}s rationnelles de surface normale},
  author={Vaqui{\'e}, Michel},
  booktitle={Annales de l'institut Fourier},
  volume={35},
  number={4},
  pages={1--37},
  year={1985}
}

@inproceedings{laufer,
  title={Weak simultaneous resolution for deformations of {G}orenstein surface singularities},
  author={Laufer, Henry B},
  booktitle={Proc. Sympos. Pure Math.},
  volume={40},
  pages={1--29},
  year={1983}
}
@article{artin,
  title={Algebraic construction of {B}rieskorn's resolutions},
  author={Artin, Michael},
  journal={Journal of Algebra},
  volume={29},
  number={2},
  pages={330--348},
  year={1974},
  publisher={Elsevier}
}
@article{kollarthreefolds,
  title={Threefolds and deformations of surface singularities},
  author={Kollár, János and Shepherd-Barron, Nicholas},
  journal={Inventiones mathematicae},
  volume={91},
  pages={299--338},
  year={1988},
  publisher={Springer-Verlag}
}
@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},
  journal={The birational geometry of degenerations (Cambridge, Mass., 1981)},
  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}},
 FSeries = {Lecture Notes in Mathematics},
 Series = {Lect. Notes Math.},
 ISSN = {0075-8434},
 Volume = {339},
 Year = {1973},
 Publisher = {Springer}
}
@article{horing,
  title={Minimal models for {K}{\"a}hler threefolds},
  author={H{\"o}ring, Andreas and Peternell, Thomas},
  journal={Inventiones mathematicae},
  volume={203},
  number={1},
  pages={217--264},
  year={2016},
  publisher={Springer}
}

@article{counterexample,
  title={Degeneration of {K}3 surfaces},
  author={Nishiguchi, Kenji},
  journal={Journal of Mathematics of Kyoto University},
  volume={28},
  number={2},
  pages={267--300},
  year={1988},
  publisher={Duke University Press}
}

@article{iskovskikh,
  title={Minimal models of rational surfaces over arbitrary fields},
  author={Iskovskikh, Vasilii Alekseevich},
  journal={Izvestiya Rossiiskoi Akademii Nauk. Seriya Matematicheskaya},
  volume={43},
  number={1},
  pages={19--43},
  year={1979},
  publisher={Russian Academy of Sciences, Steklov Mathematical Institute of Russian}
}


@article{kollarreal,
  Author = {Koll{\'a}r, J{\'a}nos},
 Title = {Real algebraic threefolds. {II}: {Minimal} model program},
 FJournal = {Journal of the American Mathematical Society},
 Journal = {J. Am. Math. Soc.},
 ISSN = {0894-0347},
 Volume = {12},
 Number = {1},
 Pages = {33--83},
 Year = {1999}
}

@article{hironaka,
  title={Resolution of singularities of an algebraic variety over a field of characteristic zero: {II}},
  author={Hironaka, Heisuke},
  journal={Annals of Mathematics},
  volume={79},
  number={2},
  pages={205--326},
  year={1964},
  publisher={JSTOR}
}

@inproceedings{duval,
  title={On isolated singularities of surfaces which do not affect the conditions of adjunction {I-III}},
  author={du {V}al, Patrick},
  booktitle={Proc. Camb. Phil. Soc.,},
  volume={30},
  pages={453-465,483-491},
  year={1934}
}

@inproceedings{brieskorn,
  title={Singular elements of semi-simple algebraic groups},
  author={Brieskorn, Egbert},
  booktitle={Proc. Int. Cong. Math., Nice},
  publisher={Gauthier-Villars},
  year={1971}
}

@book{kollarMMP,
  title={Flips and abundance for algebraic threefolds: A summer seminar at the University of Utah (Salt Lake City, 1991)},
  author={Kollár, János and Abramovich, Dan},
  year={1992},
  publisher={Soci{\'e}t{\'e} math{\'e}matique de France}
}

@book{hartshorne,
  title={Algebraic geometry},
  author={Hartshorne, Robin},
  volume={52},
  year={2013},
  publisher={Springer Science \& Business Media}
}

@article{moriflip,
  title={Flip theorem and the existence of minimal models for 3-folds},
  author={Mori, Shigefumi},
  journal={Journal of the American Mathematical Society},
  volume={1},
  number={1},
  pages={117--253},
  year={1988},
  publisher={JSTOR}
}

@article{positive,
  title={Semistable minimal models of threefolds in positive or mixed characteristic},
  author={Kawamata, Yujiro},
  journal={Journal of Algebraic Geometry},
  volume={3},
  number={3},
  pages={463},
  year={1994}
}

@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}
}

@article{steenbrink,
  title={Cohomologically insignificant degenerations},
  author={Steenbrink, Joseph HM},
  journal={Compositio Mathematica},
  volume={42},
  number={3},
  pages={315--320},
  year={1980}
}

@article{steenbrinkLMHS,
  title={Limits of {H}odge structures},
  author={Steenbrink, Joseph},
  journal={Inventiones mathematicae},
  volume={31},
  number={3},
  pages={229--257},
  year={1976},
  publisher={Springer-Verlag Berlin/Heidelberg}
}

@book{deligne,
  title={Th{\'e}orie de {H}odge},
  author={Deligne, Pierre},
  year={1970},
  publisher={Institut des Hautes Etudes Scientifiques}
}

@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},
  volume={29},
  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},
 ISSN = {0065-9266},
 Volume = {189},
 ISBN = {978-0-8218-2189-3; 978-1-4704-0103-0},
 Year = {1977},
 Publisher = {American Mathematical Society},
}

@article{albanese,
  title={On {A}lbanese torsors and the elementary obstruction},
  author={Wittenberg, Olivier},
  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},
  author={Beauville, Arnaud},
  year={1996},
  publisher={Cambridge University Press}
}
@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}
}

@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}
 }