# Quasi-Frobenius-splitting and lifting of Calabi-Yau varieties in characteristic $p$

## TL;DR

This paper extends Frobenius-splitting concepts to show that all finite height Calabi-Yau varieties over algebraically closed fields of positive characteristic can be lifted to the ring of Witt vectors of length two, advancing understanding of their deformation theory.

## Contribution

It introduces a new lifting result for finite height Calabi-Yau varieties in positive characteristic, generalizing Frobenius-splitting techniques.

## Key findings

- Finite height Calabi-Yau varieties can be lifted to Witt vectors of length two.
- Extension of Frobenius-splitting notions to Calabi-Yau varieties.
- Provides new tools for deformation theory in positive characteristic.

## Abstract

Extending the notion of Frobenius-splitting, we prove that every finite height Calabi-Yau variety defined over an algebraically closed field of positive characteristic can be lifted to the ring of Witt vectors of length two.