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- W2787487951 abstract "We study a singular Hermitian metric of a vector bundle. First, we prove the sheaf of locally square integrable holomorphic sections of a vector bundle with a singular Hermitian metric, which is a higher rank analogy of a multiplier ideal sheaf, is coherent under some assumptions. Second, we prove a Nadel-Nakano type vanishing theorem of a vector bundle with a singular Hermitian metric. We do not use an approximation technique of a singular Hermitian metric. We apply these theorems to a singular Hermitian metric induced by holomorphic sections and a big vector bundle, and we obtain a generalization of Griffiths' vanishing theorem. Finally, we show a generalization of Ohsawa's vanishing theorem." @default.
- W2787487951 created "2018-02-23" @default.
- W2787487951 creator A5011403977 @default.
- W2787487951 date "2018-02-05" @default.
- W2787487951 modified "2023-09-24" @default.
- W2787487951 title "Nadel-Nakano vanishing theorems of vector bundles with singular Hermitian metrics" @default.
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- W2787487951 doi "https://doi.org/10.48550/arxiv.1802.01794" @default.
- W2787487951 hasPublicationYear "2018" @default.
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