Multiplier Submodule Sheaves and a problem of Lempert
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arXiv
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| Main Authors: | , , , |
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| Format: | Preprint |
| Published: |
2021
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| _version_ | 1866914794667245568 |
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| author | Liu, Zhuo Xiao, Bo Yang, Hui Zhou, Xiangyu |
| author_facet | Liu, Zhuo Xiao, Bo Yang, Hui Zhou, Xiangyu |
| contents | In this article, we establish an $L^2$ extension theorem for Nakano semi-positive singular Hermitian metrics on holomorphic vector bundles, and the strong openness and stability properties of the multiplier submodule sheaves associated to Nakano semi-positive singular Hermitian metrics on holomorphic vector bundles.
We solve affirmatively a question of Lempert on the preservation of Nakano semi-positivity under limit of an increasing metrics based on Deng-Ning-Wang-Zhou's characterization of Nakano positivity. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2111_13452 |
| institution | arXiv |
| publishDate | 2021 |
| record_format | arxiv |
| spellingShingle | Multiplier Submodule Sheaves and a problem of Lempert Liu, Zhuo Xiao, Bo Yang, Hui Zhou, Xiangyu Complex Variables Algebraic Geometry Differential Geometry 32U05, 32E10, 32L10, 32W05, 14F18, 14C30, 32L05 In this article, we establish an $L^2$ extension theorem for Nakano semi-positive singular Hermitian metrics on holomorphic vector bundles, and the strong openness and stability properties of the multiplier submodule sheaves associated to Nakano semi-positive singular Hermitian metrics on holomorphic vector bundles. We solve affirmatively a question of Lempert on the preservation of Nakano semi-positivity under limit of an increasing metrics based on Deng-Ning-Wang-Zhou's characterization of Nakano positivity. |
| title | Multiplier Submodule Sheaves and a problem of Lempert |
| topic | Complex Variables Algebraic Geometry Differential Geometry 32U05, 32E10, 32L10, 32W05, 14F18, 14C30, 32L05 |
| url | https://arxiv.org/abs/2111.13452 |