On the rationality of Kawamata log terminal singularities in positive characteristic

Abstract

We show that there exists a natural number $p_0$ such that any three-dimensional Kawamata log terminal singularity defined over an algebraically closed field of characteristic $p>p_0$ is rational and in particular Cohen-Macaulay.

An example, by Takehiko Yasuda, of a non-Cohen-Macaulay quotient klt singularity for any p>2 has been added. Some small changes are introduced. Please note, that being Cohen-Macaulay is now a part of the definition of rational singularities

Cited by in corpus (2)

• Rational points on 3-folds with nef anti-canonical class over finite fields
• Arithmetic and geometric deformations of 3-folds