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- W3099040097 abstract "We show in this article that if a holomorphic vector bundle has a nonnegative Hermitian metric in the sense of Bott and Chern, which always exists on globally generated holomorphic vector bundles, then some special linear combinations of Chern forms are strongly nonnegative. This particularly implies that all the Chern numbers of such a holomorphic vector bundle are nonnegative and can be bounded below and above respectively by two special Chern numbers. As applications, we obtain a family of new results on compact connected complex manifolds which are homogeneous or can be holomorphically immersed into complex tori, some of which improve several classical results." @default.
- W3099040097 created "2020-11-23" @default.
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- W3099040097 date "2020-03-04" @default.
- W3099040097 modified "2023-10-15" @default.
- W3099040097 title "Nonnegative Hermitian vector bundles and Chern numbers" @default.
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- W3099040097 doi "https://doi.org/10.1007/s00208-020-01974-x" @default.
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