Academic Journal
Stability and holomorphic connections on vector bundles over LVMB manifolds
| Title: | Stability and holomorphic connections on vector bundles over LVMB manifolds |
|---|---|
| Authors: | Biswas, Indranil, Dumitrescu, Sorin, Meersseman, Laurent |
| Superior Title: | Comptes Rendus. Mathématique, Vol 358, Iss 2, Pp 151-157 (2020) |
| Publisher Information: | Académie des sciences, 2020. |
| Publication Year: | 2020 |
| Collection: | LCC:Mathematics |
| Subject Terms: | Mathematics, QA1-939 |
| Description: | We characterize all LVMB manifolds $X$ such that the holomorphic tangent bundle $TX$ is spanned at the generic point by a family of global holomorphic vector fields, each of them having non-empty zero locus. We deduce that holomorphic connections on semi-stable holomorphic vector bundles over LVMB manifolds with this previous property are always flat. |
| Document Type: | article |
| File Description: | electronic resource |
| Language: | English French |
| ISSN: | 1778-3569 |
| Relation: | https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.5802/crmath.24/; https://doaj.org/toc/1778-3569 |
| DOI: | 10.5802/crmath.24 |
| Access URL: | https://doaj.org/article/156761aec7014c1ab5be69c4ca9b6ed9 |
| Accession Number: | edsdoj.156761aec7014c1ab5be69c4ca9b6ed9 |
| Database: | Directory of Open Access Journals |
| Description not available. |