Zobrazeno 1 - 10
of 125
pro vyhledávání: '"Patakfalvi, Zsolt"'
For every $d \geq 4$, we construct a $d$-dimensional, log canonical, $K$-trivial variety with the property that two general fibers of its Albanese morphism are not birational. This provides a strong counterexample to the Beauville--Bogomolov decompos
Externí odkaz:
http://arxiv.org/abs/2407.17260
Autor:
Bhatt, Bhargav, Ma, Linquan, Patakfalvi, Zsolt, Schwede, Karl, Tucker, Kevin, Waldron, Joe, Witaszek, Jakub
Let $X$ be an integral scheme of finite type over a complete DVR of mixed characteristic. We provide a definition of a test ideal which agrees with the multiplier ideal after inverting $p$, can be computed from a sufficiently large alteration, agrees
Externí odkaz:
http://arxiv.org/abs/2401.00615
Autor:
Ejiri, Sho, Patakfalvi, Zsolt
We prove the Demailly--Peternell--Schneider conjecture in positive characteristic: if $X$ is a smooth projective variety over an algebraically closed field of characteristic $p>0$ with $-K_X$ is nef, then the Albanese morphism $a: X \to A$ is surject
Externí odkaz:
http://arxiv.org/abs/2305.02157
We show the properness of the moduli stack of stable surfaces over $\mathbb{Z}[1/30]$, assuming the locally-stable reduction conjecture for stable surfaces. This relies on a local Kawamata--Viehweg vanishing theorem for for 3-dimensional log canonica
Externí odkaz:
http://arxiv.org/abs/2302.05651
In the search of a projective analog of Kunz's theorem and a Frobenius-theoretic analog of Mori--Hartshorne's theorem, we investigate the positivity of the kernel of the Frobenius trace (equivalently, the negativity of the cokernel of the Frobenius e
Externí odkaz:
http://arxiv.org/abs/2110.15035
We prove, under suitable conditions, that there exist wall-crossing and reduction morphisms for moduli spaces of stable log pairs in all dimensions as one varies the coefficients of the divisor.
Comment: Improved exposition and minor corrections
Comment: Improved exposition and minor corrections
Externí odkaz:
http://arxiv.org/abs/2108.07402
Autor:
Codogni, Giulio, Patakfalvi, Zsolt
Publikováno v:
In proceeding: Cheltsov, I., Chen, X., Katzarkov, L., Park, J. (eds) Birational Geometry, K\"ahler--Einstein Metrics and Degenerations, 2019, Springer Proceedings in Mathematics \& Statistics, vol 409, page 195--203
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:
http://arxiv.org/abs/2107.07902
Autor:
Bhatt, Bhargav, Ma, Linquan, Patakfalvi, Zsolt, Schwede, Karl, Tucker, Kevin, Waldron, Joe, Witaszek, Jakub
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 $F$-regularity to mixed characteristic and identify certain stable sections of adj
Externí odkaz:
http://arxiv.org/abs/2012.15801
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
Externí odkaz:
http://arxiv.org/abs/2009.12041
Autor:
Patakfalvi, Zsolt
We show that if $f: X \to T$ is a surjective morphism between smooth projective varieties over an algebraically closed field $k$ of characteristic $p>0$ with geometrically integral and non-uniruled generic fiber, then $K_{X/T}$ is pseudo-effective. T
Externí odkaz:
http://arxiv.org/abs/2009.07158