On the Kawamata-Viehweg vanishing theorem for log Calabi-Yau surfaces in large characteristic

TL;DR

This paper proves that the Kawamata-Viehweg vanishing theorem applies to log Calabi-Yau surfaces with standard coefficients over algebraically closed fields of large characteristic, extending its validity in positive characteristic settings.

Contribution

It establishes the Kawamata-Viehweg vanishing theorem for log Calabi-Yau surfaces in large characteristic, a significant extension of known results in algebraic geometry.

Findings

Kawamata-Viehweg vanishing holds for log Calabi-Yau surfaces in large characteristic

Validates the theorem for surfaces with standard coefficients

Extends the theorem's applicability in positive characteristic contexts

Abstract

We prove that the Kawamata-Viehweg vanishing theorem holds for a log Calabi-Yau surface $(X, B)$ over an algebraically closed field of large characteristic when $B$ has standard coefficients.