Publication

On the Kawamata-Viehweg vanishing theorem for log del Pezzo surfaces in positive characteristic

Emelie Kerstin Arvidsson
2022
Journal Articles

Abstract

We prove the Kawamata-Viehweg vanishing theorem for surfaces of del Pezzo type over perfect fields of positive characteristic p > 5. As a consequence, we show that klt threefold singularities over a perfect base field of characteristic p > 5 are rational. We show that these theorems are sharp by providing counterexamples in characteristic 5.

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On the Kawamata-Viehweg vanishing theorem for log del Pezzo surfaces in positive characteristic

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