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

Abstract

We show that a projective globally $F$-split semi-log canonical $K$-trivial surface over an algebraically closed field of characteristic $p>0$ admits an equisingular lifting over the ring of Witt vectors.

65 pages, final version: to appear in J. Lond. Math. Soc