6 citations · 11 across the 6 of their papers we have counts for
11 papers
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…
Global Frobenius Liftability II: Surfaces and Fano Threefolds
Piotr Achinger, Jakub Witaszek, Maciej Zdanowicz
In this article, a sequel to "Global Frobenius Liftability I" (math:1708:03777v2), we continue the development of a comprehensive theory of Frobenius liftings modulo . We stud…
Ordinary varieties with trivial canonical bundle are not uniruled
Zsolt Patakfalvi, Maciej Zdanowicz
We prove that smooth, projective, -trivial, weakly ordinary varieties over a perfect field of characteristic are not geometrically uniruled. We also show a singular versio…
The weak Beauville--Bogomolov decomposition in characteristic
Zsolt Patakfalvi, Maciej Zdanowicz
We prove a variant of the Beauville--Bogomolov decomposition for weakly ordinary, or generally globally -split, varieties with , in characteristic . We also…
Arithmetically rigid schemes via deformation theory of equivariant vector bundles
Maciej Emilian Zdanowicz
We analyze the deformation theory of equivariant vector bundles. In particular, we provide an effective criterion for verifying whether all infinitesimal deformations preserve the…
Serre-Tate theory for Calabi-Yau varieties
Piotr Achinger, Maciej Zdanowicz
Classical Serre-Tate theory describes deformations of ordinary abelian varieties. It implies that every such variety has a canonical lift to characteristic zero and equips its loca…
Non-liftable Calabi-Yau varieties in characteristic
Piotr Achinger, Maciej Zdanowicz
Based on recent work of Totaro, we provide two simple constructions of non-liftable Calabi-Yau varieties in characteristic . Our examples are of dimension and …
Global Frobenius Liftability I
Piotr Achinger, Jakub Witaszek, Maciej Zdanowicz
We formulate a conjecture characterizing smooth projective varieties in positive characteristic whose Frobenius morphism can be lifted modulo - we expect that such varieties,…
Some elementary examples of non-liftable schemes
Piotr Achinger, Maciej Zdanowicz
We present some simple examples of smooth projective varieties in positive characteristic, arising from linear algebra, which do not admit a lifting neither to characteristic zero,…
Liftability of singularities and their Frobenius morphism modulo
Maciej Zdanowicz
We investigate the -liftability of singular schemes. We prove constructibility of the locus of -liftable schemes in a flat family . Moreover, we construct…
Leakage-resilient Cryptography with key derived from sensitive data
Konrad Durnoga, Tomasz Kazana, Michał Zając +1
In this paper we address the problem of large space consumption for protocols in the Bounded Retrieval Model (BRM), which require users to store large secret keys subject to advers…