A Grauert–Riemenschneider vanishing theorem for Witt canonical sheaves

Inventiones mathematicae 2026 Open access

Read full text
Authors: Jefferson Baudin
DOI: 10.1007/s00222-026-01441-5
Cited by: 0
References: 78

Abstract

Abstract We prove a Witt vector version of the usual Grauert–Riemenschneider vanishing theorem over perfect fields of positive characteristic, solving a question raised by Blickle, Esnault, Chatzistamatiou and Rülling. We then deduce some rationality consequences for $F$ F –rational singularities.

Fields of Study & Subjects

Algebraic Geometry and Number Theory Nonlinear Waves and Solitons Advanced Combinatorial Mathematics

Publication details

Journal / source
Inventiones mathematicae
Publisher
Springer Science and Business Media LLC
Publication date
4 August 2026
Language
EN