论文标题

Bogomolov-Sommese类型的消失定理,用于带有阳性遗产指标的圆形矢量束

Bogomolov-Sommese type vanishing theorem for holomorphic vector bundles equipped with positive singular Hermitian metrics

论文作者

Watanabe, Yuta

论文摘要

我们获得了Bogomolov-Sommese类型的消失定理,涉及大线束的乘数理想带。我们定义了具有L2估算的单一遗传学指标的双中性中性半积极性,并证明了消失的定理,这是Bogomolov-Sommese型消失定理对Holomorphic vector Bundles的概括。

We obtain the Bogomolov-Sommese type vanishing theorem involving multiplier ideal sheaves for big line bundles. We define a dual Nakano semi-positivity of singular Hermitian metrics with L2-estimates and prove the vanishing theorem which is a generalization of the Bogomolov-Sommese type vanishing theorem to holomorphic vector bundles.

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