A Le Potier-type isomorphism twisted with multiplier submodule sheaves
Fuente:
arXiv
Guardado en:
| Autores principales: | , , , |
|---|---|
| Formato: | Preprint |
| Publicado: |
2024
|
| Materias: | |
| Acceso en línea: | |
| Etiquetas: |
Agregar Etiqueta
Sin Etiquetas, Sea el primero en etiquetar este registro!
|
| _version_ | 1866917664231784448 |
|---|---|
| author | Liu, Yaxiong Liu, Zhuo Yang, Hui Zhou, Xiangyu |
| author_facet | Liu, Yaxiong Liu, Zhuo Yang, Hui Zhou, Xiangyu |
| contents | In this paper, we obtain a Le Potier-type isomorphism theorem twisted with multiplier submodule sheaves, which relates a holomorphic vector bundle endowed with a strongly Nakano semipositive singular Hermitian metric to the tautological line bundle with the induced metric. As applications, we obtain a Kollár-type injectivity theorem, a Nadel-type vanishing theorem, and a singular holomorphic Morse inequality for holomorphic vector bundles and so on. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2405_07261 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | A Le Potier-type isomorphism twisted with multiplier submodule sheaves Liu, Yaxiong Liu, Zhuo Yang, Hui Zhou, Xiangyu Complex Variables In this paper, we obtain a Le Potier-type isomorphism theorem twisted with multiplier submodule sheaves, which relates a holomorphic vector bundle endowed with a strongly Nakano semipositive singular Hermitian metric to the tautological line bundle with the induced metric. As applications, we obtain a Kollár-type injectivity theorem, a Nadel-type vanishing theorem, and a singular holomorphic Morse inequality for holomorphic vector bundles and so on. |
| title | A Le Potier-type isomorphism twisted with multiplier submodule sheaves |
| topic | Complex Variables |
| url | https://arxiv.org/abs/2405.07261 |