8 citations · 9 across the 5 of their papers we have counts for
11 papers
On rational chain connectedness of globally +-regular varieties
Emre Alp Özavcı, Zsolt Patakfalvi, Kevin Tucker +2
We prove that globally -regular varieties are rationally chain connected in dimension three and mixed characteristic with residue field characteristic . We also introduce a…
On surfaces with smooth projective models over
Fabio Bernasconi, Gebhard Martin, Zsolt Patakfalvi
In this expository article, we prove a birational classification of smooth projective models of surfaces with negative Kodaira dimension over and over more general rin…
Effective positivity of Hodge bundles and applications
Giulio Codogni, Zsolt Patakfalvi, Luca Tasin
We prove new boundedness results across different areas of algebraic geometry, stemming from a unifying technical starting point: bounding the integer such that the -th…
On Gorenstein -rational threefold and fourfold singularities
Jefferson Baudin, Zsolt Patakfalvi, Linus Rösler +1
We prove that for and , quasi--Gorenstein --pure and --rational --fold singularities are canonical. This is analogous to the usual fact that r…
Perfectoid pure singularities
Bhargav Bhatt, Linquan Ma, Zsolt Patakfalvi +4
Fix a prime number . Inspired by the notion of -pure or -split singularities, we study the condition that a Noetherian ring with in its Jacobson radical is pure inside…
A strong counterexample to the log canonical Beauville--Bogomolov decomposition
Fabio Bernasconi, Stefano Filipazzi, Zsolt Patakfalvi +1
For every , we construct a -dimensional, log canonical, -trivial variety with the property that two general fibers of its Albanese morphism are not birational. This…