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pro vyhledávání: '"Zsolt Patakfalvi"'
Autor:
Giulio Codogni, Zsolt Patakfalvi
Publikováno v:
Springer Proceedings in Mathematics & Statistics ISBN: 9783031178580
In this short note, we give an alternative proof of the semipositivity of the Chow-Mumford line bundle for families of K-semistable log-Fano pairs, and of the nefness threeshold for the log-anti-canonical line bundle on families of K-stable log Fano
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::f195df944efef2ea9df216919a944fc8
https://hdl.handle.net/2108/325586
https://hdl.handle.net/2108/325586
Autor:
Bhargav Bhatt, Linquan Ma, Zsolt Patakfalvi, Karl Schwede, Kevin Tucker, Joe Waldron, Jakub Witaszek
Publikováno v:
Publications mathématiques de l'IHÉS.
We establish the Minimal Model Program for arithmetic threefolds whose residue characteristics are greater than five. In doing this, we generalize the theory of global $F$ F -regularity to mixed characteristic and identify certain stable sections of
Autor:
Christopher D. Hacon, Zsolt Patakfalvi
Publikováno v:
Bollettino dell'Unione Matematica Italiana. 15:215-244
In this paper we prove a strengthening of the generic vanishing result in characteristic $p>0$ given in [HP16]. As a consequence of this result, we show that irreducible $\Theta$ divisors are strongly F-regular and we prove a related result for pluri
Autor:
Maciej Zdanowicz, Zsolt Patakfalvi
Publikováno v:
Mathematische Annalen
We prove that smooth, projective, $K$-trivial, weakly ordinary varieties over a perfect field of characteristic $p>0$ are not geometrically uniruled. We also show a singular version of our theorem, which is sharp in multiple aspects. Our work, togeth
Autor:
Zsolt Patakfalvi, Chenyang Xu
Publikováno v:
Algebraic Geometry. 4:29-39
Reference EPFL-ARTICLE-231101doi:10.14231/AG-2017-002 URL: http://dx.doi.org/10.14231/AG-2017-002 Record created on 2017-09-19, modified on 2017-10-02
Autor:
Zsolt Patakfalvi
Publikováno v:
Journal of Algebraic Geometry. 27:21-53
We show that for a surjective, separable morphism f f of smooth projective varieties over a field of positive characteristic such that f ∗ O X ≅ O Y f_* \mathcal {O}_X \cong \mathcal {O}_Y subadditivity of Kodaira dimension holds, provided the ba
Autor:
Zsolt Patakfalvi, Sándor J. Kovács
Publikováno v:
Journal of the American Mathematical Society. 30:959-1021
We prove that any coarse moduli space of stable log-varieties of general type is projective. We also prove subadditivity of log-Kodaira dimension for fiber spaces whose general fiber is of log general type.
Publikováno v:
Duke Math. J. 168, no. 9 (2019), 1723-1736
Let $k$ be an algebraically closed field of characteristic $p>0$. We give a birational characterization of ordinary abelian varieties over $k$: a smooth projective variety $X$ is birational to an ordinary abelian variety if and only if $\kappa_S(X)=0
Autor:
Zsolt Patakfalvi, Christopher D. Hacon
Publikováno v:
American Journal of Mathematics. 138:963-998
We prove a generic vanishing type statement in positive characteristic and apply it to prove positive characteristic versions of Kawamata's theorems: a characterization of smooth varieties birational to ordinary abelian varieties and the surjectivity
Publikováno v:
Advances in Mathematics. 280:47-78
In this paper, we show that projective globally F-regular threefolds, defined over an algebraically closed field of characteristic p≥11, are rationally chain connected.