论文标题
奇异的赫尔米利亚指标和消失的demailly-nadel-nakano型定理的阳性阳性
Nakano positivity of singular Hermitian metrics and vanishing theorems of Demailly-Nadel-Nakano type
论文作者
论文摘要
在本文中，我们提出了关于奇迹般的遗传学指标对全体形态矢量束的半阳性指标的定义。通过使用这种积极的概念，我们建立了$ l^2 $估计的holomorthic矢量束，并用中虫积极的单一遗传学指标来建立。我们还展示了消失的定理，该定理概括了Nakano Type和Demailly-Nadel型消失定理。作为应用，我们专门为几个束构建了全球中nakano半阳性的奇特式指标，并证明与它们相关的定理消失了。
In this article, we propose a definition of Nakano semi-positivity of singular Hermitian metrics on holomorphic vector bundles. By using this positivity notion, we establish $L^2$-estimates for holomorphic vector bundles with Nakano positive singular Hermitian metrics. We also show vanishing theorems, which generalize both Nakano type and Demailly-Nadel type vanishing theorems. As applications, we specifically construct globally Nakano semi-positive singular Hermitian metrics for several bundles, and prove vanishing theorems associated with them.
