3 citations · 3 across the 1 of their papers we have counts for
7 papers
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…
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 …
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,…