Steenbrink-type vanishing for surfaces in positive characteristic

2024/02/13 by Kawakami, Tatsuro · 1 citation
#14F10 #14F17 #14J17 #Algebraic Geometry (math.AG) #FOS: Mathematics

paper · doi:10.48550/arxiv.2402.08153

Abstract

Let (X,B) be a pair of a normal surface over a perfect field of characteristic p>0 and an effective ℚ-divisor B on X. We prove that Steenbrink-type vanishing holds for (X,B) if it is log canonical and p>5, or it is F-pure. We also show that rational surface singularities satisfying the vanishing are F-injective.

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• On Steenbrink vanishing for rational singularities in positive characteristic

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