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Zsolt Patakfalvi
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Cited by
Year
Projectivity of the moduli space of stable log-varieties and subadditivity of log-Kodaira dimension
S Kovács, Z Patakfalvi
Journal of the American Mathematical Society 30 (4), 959-1021, 2017
1002017
Semi-positivity in positive characteristics
Z Patakfalvi
Annales Scientifiques de l’École Normale Supérieure 47 (5), 991–1025, 2014
672014
Positivity of the CM line bundle for families of K-stable klt Fano varieties
G Codogni, Z Patakfalvi
Inventiones mathematicae 223, 811-894, 2021
622021
Globally-regular varieties and the minimal model program for threefolds in mixed characteristic
B Bhatt, L Ma, Z Patakfalvi, K Schwede, K Tucker, J Waldron, J Witaszek
Publications mathématiques de l'IHÉS 138 (1), 69-227, 2023
59*2023
F-singularities in families
Z Patakfalvi, K Schwede, W Zhang
Algebr. Geom 5 (3), 264-327, 2018
44*2018
On rational connectedness of globally F-regular threefolds
Y Gongyo, Z Li, Z Patakfalvi, K Schwede, H Tanaka, R Zong
Advances in Mathematics 280, 47-78, 2015
332015
Singularities of general fibers and the LMMP
Z Patakfalvi, J Waldron
American Journal of Mathematics 144 (2), 505-540, 2022
312022
Ampleness of the CM line bundle on the moduli space of canonically polarized varieties
Z Patakfalvi, C Xu
arXiv preprint arXiv:1503.08668, 2015
282015
Depth of-singularities and base change of relative canonical sheaves
Z Patakfalvi, K Schwede
Journal of the Institute of Mathematics of Jussieu 13 (1), 43-63, 2014
272014
Moduli of products of stable varieties
B Bhatt, W Ho, Z Patakfalvi, C Schnell
Compositio Mathematica 149 (12), 2036-2070, 2013
252013
On subadditivity of Kodaira dimension in positive characteristic over a general type base
Z Patakfalvi
Journal of Algebraic Geometry 27 (1), 21-53, 2018
23*2018
Generic vanishing in characteristic p > 0 and the characterization of ordinary abelian varieties
CD Hacon, Z Patakfalvi
American Journal of Mathematics 138 (4), 963-998, 2016
222016
Positive characteristic algebraic geometry
Z Patakfalvi, K Schwede, K Tucker
Surveys on Recent Developments in Algebraic Geometry, Proc. Sympos. Pure …, 2017
20*2017
Singularities of General Fibers and the LMMP
Z Patakfalvi, J Waldron
arXiv preprint arXiv:1708.04268, 2017
192017
Birational characterization of Abelian varieties and ordinary Abelian varieties in characteristic
CD Hacon, Z Patakfalvi, L Zhang
18*2019
Fibered stable varieties
Z Patakfalvi
Transactions of the American Mathematical Society 368 (3), 1837-1869, 2016
182016
Viehwegʼs hyperbolicity conjecture is true over compact bases
Z Patakfalvi
Advances in Mathematics 229 (3), 1640-1642, 2012
182012
On the Beauville--Bogomolov decomposition in characteristic
Z Patakfalvi, M Zdanowicz
arXiv preprint arXiv:1912.12742, 2019
172019
Base change behavior of the relative canonical sheaf related to higher dimensional moduli
Z Patakfalvi
Algebra & Number Theory 7 (2), 353-378, 2013
16*2013
Line-graphs of cubic graphs are normal
Z Patakfalvi
Discrete mathematics 308 (12), 2351-2365, 2008
92008
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Articles 1–20