A degeneration approach to Skoda's Division Theorem
Fuente:
arXiv
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| Format: | Preprint |
| Published: |
2022
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| _version_ | 1866929229463027712 |
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| author | Albesiano, Roberto |
| author_facet | Albesiano, Roberto |
| contents | We prove a Skoda-type division theorem via a degeneration argument. The proof is inspired by B. Berndtsson and L. Lempert's approach to the $L^2$ extension theorem and is based on positivity of direct image bundles. The same tools are then used to slightly simplify and extend the proof of the $L^2$ extension theorem given by Berndtsson and Lempert. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2212_07298 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | A degeneration approach to Skoda's Division Theorem Albesiano, Roberto Complex Variables Algebraic Geometry Differential Geometry 32L10, 32E10, 32G08, 32F32 We prove a Skoda-type division theorem via a degeneration argument. The proof is inspired by B. Berndtsson and L. Lempert's approach to the $L^2$ extension theorem and is based on positivity of direct image bundles. The same tools are then used to slightly simplify and extend the proof of the $L^2$ extension theorem given by Berndtsson and Lempert. |
| title | A degeneration approach to Skoda's Division Theorem |
| topic | Complex Variables Algebraic Geometry Differential Geometry 32L10, 32E10, 32G08, 32F32 |
| url | https://arxiv.org/abs/2212.07298 |