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arXiv · 2002.00679

On the Kodaira vanishing theorem for log del Pezzo surfaces in positive characteristic

Emelie Arvidsson
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Abstract

We investigate the vanishing of $H^1(X,\mathcal{O}_X(-D))$ for a big and nef $\mathbb{Q}$-Cartier $\mathbb{Z}$-divisor $D$ on a log del Pezzo surface $(X,\Delta )$ over an algebraically closed field of positive characteristic $p$.

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Emelie Arvidsson. 2020-02-03. On the Kodaira vanishing theorem for log del Pezzo surfaces in positive characteristic. https://arxiv.org/abs/2002.00679

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