A Hilbert bundle approach to the sharp strong openness theorem and the Ohsawa-Takegoshi extension theorem
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arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2021
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| _version_ | 1866916136197554176 |
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| author | Nguyen, Tai Terje Huu Wang, Xu |
| author_facet | Nguyen, Tai Terje Huu Wang, Xu |
| contents | The following paper is around parts of the first named author's thesis. We discuss (what we call) a Hilbert bundle approach to complex Brunn-Minkowski theory and obtain a general monotonicity theorem. As two applications, we prove a generalization of Guan's sharp strong openness theorem and a sharp Ohsawa-Takegoshi extension theorem. A second proof of Guan-Zhou's strong openness theorem using a Donnelly-Fefferman estimate is also given. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2111_08422 |
| institution | arXiv |
| publishDate | 2021 |
| record_format | arxiv |
| spellingShingle | A Hilbert bundle approach to the sharp strong openness theorem and the Ohsawa-Takegoshi extension theorem Nguyen, Tai Terje Huu Wang, Xu Complex Variables Algebraic Geometry Differential Geometry The following paper is around parts of the first named author's thesis. We discuss (what we call) a Hilbert bundle approach to complex Brunn-Minkowski theory and obtain a general monotonicity theorem. As two applications, we prove a generalization of Guan's sharp strong openness theorem and a sharp Ohsawa-Takegoshi extension theorem. A second proof of Guan-Zhou's strong openness theorem using a Donnelly-Fefferman estimate is also given. |
| title | A Hilbert bundle approach to the sharp strong openness theorem and the Ohsawa-Takegoshi extension theorem |
| topic | Complex Variables Algebraic Geometry Differential Geometry |
| url | https://arxiv.org/abs/2111.08422 |