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.

中文翻译：

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特征3中的log del Pezzo曲面的Kawamata-Viehweg消失失败

我们在特征三中构造了一个klt del Pezzo曲面，这违反了Kawamata-Viehweg消失定理。结果表明，在特征三中存在Kawamata对数末端三重奇异点，而不是Cohen-Macaulay。