An extension of coherent sheaves defined outside holomorphically convex compact sets |
| |
Authors: | Viorel Vajaitu |
| |
Institution: | 1. Université des Sciences et Technologies de Lille 1, Laboratoire Paul Painlevé, Bat. M2, 59655, Villeneuve d’Ascq Cedex, France
|
| |
Abstract: | We show that a coherent analytic sheaf ${\mathcal F}$ with prof ${{\mathcal F}\geq 2}$ defined outside a holomorphically convex compact set K in a 1-convex space X admits a coherent extension to the whole space X if, and only if, the canonical topology on ${H^1(X \setminus K,{\mathcal F})}$ is separated. |
| |
Keywords: | |
本文献已被 SpringerLink 等数据库收录! |
|