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. (c) 2021 Elsevier B.V. All rights reserved.
Kawamata-Viehweg vanishing fails for log del Pezzo surfaces in characteristic 3 / Bernasconi, F. - In: JOURNAL OF PURE AND APPLIED ALGEBRA. - ISSN 0022-4049. - 225:11(2021). [10.1016/j.jpaa.2021.106727]
Kawamata-Viehweg vanishing fails for log del Pezzo surfaces in characteristic 3
Bernasconi F
2021
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. (c) 2021 Elsevier B.V. All rights reserved.File allegati a questo prodotto
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