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On the Kodaira vanishing theorem for log del Pezzo surfaces in positive characteristic
Mathematische Zeitschrift ( IF 1.0 ) Pub Date : 2021-05-06 , DOI: 10.1007/s00209-021-02742-6
Emelie Arvidsson

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 pair \((X,\Delta )\) over a perfect field of positive characteristic p.



中文翻译:

关于正特征对数del Pezzo曲面的Kodaira消失定理

我们研究\(H ^ 1(X,\ mathcal {O} _X(-D))\)对于一个大而整洁的\(\ mathbb {Q} \)- Cartier \(\ mathbb {Z} \ ) -divisor d上的登录德尔Pezzo对\((X,\德尔塔)\)在正特性的一个完美的字段p

更新日期:2021-05-06
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