Equisingular lifting of semi-log canonical $F$-split $K$-trivial surfaces

TL;DR

This paper proves that certain algebraic surfaces with specific singularities and properties in characteristic p>2 can be lifted to characteristic zero while preserving their singularity type.

Contribution

It establishes the existence of equisingular liftings for semi-log canonical F-split K-trivial surfaces over Witt rings in characteristic p>2.

Findings

Existence of equisingular liftings for the specified surfaces.

Preservation of singularity type during lifting.

Applicable to algebraically closed fields of characteristic p>2.

Abstract

We show that a projective globally $F$-split semi-log canonical $K$-trivial surface over an algebraically closed field of characteristic $p>2$ admits an equisingular lifting over the ring of Witt vectors.