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Kawamata-Viehweg vanishing fails for log del Pezzo surfaces in characteristic 3 (1709.09238v3)
Published 26 Sep 2017 in math.AG
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.