论文标题
Nakano-Nadel类型,Bogomolov-Sommese型消失和单数双中性中性半积极性
Nakano-Nadel type, Bogomolov-Sommese type vanishing and singular dual Nakano semi-positivity
论文作者
论文摘要
在本文中,我们获得了单数(双重)中nakano半积极性的特性,并获得了涉及$ l^2 $ subsheaves的奇异类型的变化定理,这些定理在弱的伪convex上,$ l^2 $ - 估计含量和$ l^2 $ l^2 $ -l^2 $ -lypy-type dype dype dype dolbeacoat dolbeacorault hoalt somorphismsss。作为应用,介绍了藤田的猜想类型定理,具有单一的遗传学指标。
In this article, we get properties for singular (dual) Nakano semi-positivity and obtain singular type vanishing theorem involving $L^2$-subsheaves on weakly pseudoconvex manifolds by $L^2$-estimates and $L^2$-type Dolbeault isomorphisms. As applications, Fujita's conjecture type theorem with singular Hermitian metrics is presented.