STABILITY AND HOLOMORPHIC CONNECTIONS ON VECTOR BUNDLES OVER LVMB MANIFOLDS
Overview & Synopsis
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.
Indexed from repository: HAL Open Science
(
hal.science)
Keyboard Shortcuts:
← / → for pages • + / - for zoom • 0 to fit width
Powered by Mozilla PDF.js v3.11
Document Information
| Document Title | STABILITY AND HOLOMORPHIC CONNECTIONS ON VECTOR BUNDLES OVER LVMB MANIFOLDS |
|---|---|
| Author / Organization | Indranil Biswas, Sorin Dumitrescu, Laurent Meersseman |
| Subject & Discipline | Multidisciplinary Academic Open Research |
| Categories | Science & Mathematics |
| Publication Year | 2020 |
| License / Rights | Open Access / Creative Commons |
| Resource Verification | Listed PDF (Verification Pending) |
| Original Host Website |
HAL Open Science
(hal.science)
|
| File Format | application/pdf (Portable Document Format) |
| Language | EN |
| Catalog ID | DOC-251062 |
| Original Source Link | Visit Source Page on hal.science » |