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arXiv · 1709.09238

Kawamata-Viehweg vanishing fails for log del Pezzo surfaces in characteristic 3

Fabio Bernasconi
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Abstract

We construct a klt del Pezzo surface in characteristic three violating the Kawamata-Viehweg vanishing theorem. As a consequence we show that there exists a Kawamata log terminal threefold singularity which is not Cohen-Macaulay in characteristic three.

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Fabio Bernasconi. 2017-09-26. Kawamata-Viehweg vanishing fails for log del Pezzo surfaces in characteristic 3. https://arxiv.org/abs/1709.09238

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