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- W3015808232 abstract "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." @default.
- W3015808232 created "2020-04-17" @default.
- W3015808232 creator A5072836595 @default.
- W3015808232 date "2020-04-13" @default.
- W3015808232 modified "2023-09-25" @default.
- W3015808232 title "Nakano positivity of singular Hermitian metrics and vanishing theorems of Demailly-Nadel-Nakano type" @default.
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- W3015808232 doi "https://doi.org/10.48550/arxiv.2004.05798" @default.
- W3015808232 hasPublicationYear "2020" @default.
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