| HAL: hal-00643612, version 1 |
| arXiv: 1111.5324 |
| Detailed view | Export this paper |
|
|
|
|
| Differential equations as embedding obstructions and vanishing theorems |
|
|
| Damian Brotbek 1 |
|
|
| (2011-11-22) |
|
|
| We generalize a vanishing theorem for the cohomology of symmetric powers of the cotangent bundle of subvarieties of projective space due to Schneider. From this we deduce new vanishing results for Green-Griffiths jet differential bundles, generalizing results of Diverio and Pacienza-Rousseau. |
|
|
|
|
|
|
|
|
|
|
| 1: | Institut de Recherche Mathématique de Rennes (IRMAR) |
| CNRS : UMR6625 – Université de Rennes 1 – École normale supérieure de Cachan - ENS Cachan – Institut National des Sciences Appliquées (INSA) : - RENNES – Université de Rennes II - Haute Bretagne | |
|
|
|
|
|
|
|
|
| Géométrie algébrique |
|
|
|
|
| Subject | : | Mathematics/Algebraic Geometry |
|
|
| Vanishing theorems – jet differential bundles |
|
|
| Attached file list to this document: | ||||||||||
|
|
|
| hal-00643612, version 1 | |
| http://hal.archives-ouvertes.fr/hal-00643612 | |
| oai:hal.archives-ouvertes.fr:hal-00643612 | |
| From: Damian Brotbek | |
| Submitted on: Tuesday, 22 November 2011 13:49:54 | |
| Updated on: Wednesday, 4 January 2012 17:02:52 | |