Generically surjective morphisms of holomorphic vector bundles via degenerations
Fuente:
arXiv
Guardado en:
| Autor principal: | |
|---|---|
| Formato: | Preprint |
| Publicado: |
2025
|
| Materias: | |
| Acceso en línea: | |
| Etiquetas: |
Agregar Etiqueta
Sin Etiquetas, Sea el primero en etiquetar este registro!
|
| _version_ | 1866913714889818112 |
|---|---|
| author | Albesiano, Roberto |
| author_facet | Albesiano, Roberto |
| contents | We prove an $L^2$ theorem on generically surjective morphism of holomorphic vector bundles via a degeneration argument, generalizing the author's previous work on the $L^2$ division theorem of Skoda. The proof is based on Berndtsson's theorem on the positivity of direct image bundles and is inspired by Berndtsson and Lempert's proof of the $L^2$ extension theorem. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2503_01059 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Generically surjective morphisms of holomorphic vector bundles via degenerations Albesiano, Roberto Complex Variables Algebraic Geometry Differential Geometry 32L10 (Primary), 32E10, 32G08, 32F32 (Secondary) We prove an $L^2$ theorem on generically surjective morphism of holomorphic vector bundles via a degeneration argument, generalizing the author's previous work on the $L^2$ division theorem of Skoda. The proof is based on Berndtsson's theorem on the positivity of direct image bundles and is inspired by Berndtsson and Lempert's proof of the $L^2$ extension theorem. |
| title | Generically surjective morphisms of holomorphic vector bundles via degenerations |
| topic | Complex Variables Algebraic Geometry Differential Geometry 32L10 (Primary), 32E10, 32G08, 32F32 (Secondary) |
| url | https://arxiv.org/abs/2503.01059 |