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On the Kodaira vanishing theorem for log del Pezzo surfaces in positive characteristic
Published 3 Feb 2020 in math.AG | (2002.00679v1)
Abstract: We investigate the vanishing of $H1(X,\mathcal{O}_X(-D))$ 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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