From division to extension
Fuente:
arXiv
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866912255892783104 |
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| author | Albesiano, Roberto |
| author_facet | Albesiano, Roberto |
| contents | We present a short proof of a version of the Ohsawa-Takegoshi-Manivel $L^2$ extension theorem as a corollary of a Skoda-type $L^2$ division theorem with bounded generators. The new division theorem is of independent interest: the boundedness of generators allows to send the parameter $α>1$ of the usual $L^2$ division theorems to 1 in the norm of the datum of the division. As an aside, we also use the new division theorem to prove a Briançon-Skoda-type result. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2503_01061 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | From division to extension Albesiano, Roberto Complex Variables Algebraic Geometry Differential Geometry 32L10 (Primary), 32E10, 32G08, 32F32 (Secondary) We present a short proof of a version of the Ohsawa-Takegoshi-Manivel $L^2$ extension theorem as a corollary of a Skoda-type $L^2$ division theorem with bounded generators. The new division theorem is of independent interest: the boundedness of generators allows to send the parameter $α>1$ of the usual $L^2$ division theorems to 1 in the norm of the datum of the division. As an aside, we also use the new division theorem to prove a Briançon-Skoda-type result. |
| title | From division to extension |
| topic | Complex Variables Algebraic Geometry Differential Geometry 32L10 (Primary), 32E10, 32G08, 32F32 (Secondary) |
| url | https://arxiv.org/abs/2503.01061 |