A vanishing theorem for threefolds in characteristic p>5 and applications

2020/07/03 by Fabio Bernasconi, Bernasconi, Fabio · 1 citation
Mathematics · #Advanced Algebra and Geometry #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #FOS: Mathematics #Finite Group Theory Research

paper · pdf · doi:10.48550/arxiv.2007.01803

openalex publication_date 2020/07/03 · openalex created_date 2024/04/10 · openalex updated_date 2026/07/28

Abstract

In this note we show a Kawamata-Viehweg vanishing theorem for pl-contractions on threefolds in characteristic p>5. We deduce several applications for klt threefolds: the vanishing of higher direct images of structure sheaves of Mori fibre spaces, Kollár's result on local vanishing and the rationality of the singularities of the base of a conic bundle.

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• On Kawamata-Viehweg Vanishing for Surfaces of del Pezzo type over imperfect fields

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