Maciej Zdanowicz

activity

20162025

most citedNon-liftable Calabi-Yau varieties in characteristic

p \geq 5

3 citations · 3 across the 2 of their papers we have counts for

collaborators

Showing math.AGShow all

8 papers · 1 filter

math.AG2025

On Gorenstein $Q_{p}$ -rational threefold and fourfold singularities

Jefferson Baudin, Zsolt Patakfalvi, Linus Rösler +1

We prove that for $n \leq 4$ and $p > 5$ , quasi--Gorenstein $F$ --pure and $Q_{p}$ --rational $n$ --fold singularities are canonical. This is analogous to the usual fact that r…

math.AG2021

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 $p^{2}$ . We stud…

math.AG2020

Ordinary varieties with trivial canonical bundle are not uniruled

Zsolt Patakfalvi, Maciej Zdanowicz

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 versio…

math.AG2018

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…

math.AG2018

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…

math.AG2017★ 3 cited

Non-liftable Calabi-Yau varieties in characteristic $p \geq 5$