Holomorphic vector bundles on holomorphically convex surface
Here we study holomorphic vector bundles on a two-dimensional holomorphically convex complex manifold <em>Y</em> . We present some characterizations of <em>Y</em> under which torsion free sheaves are filtrable. In the case when <em>Y = X × C</em>, where <em>...
| Main Authors: | , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Università degli Studi di Catania
2000-05-01
|
| Series: | Le Matematiche |
| Online Access: | http://www.dmi.unict.it/ojs/index.php/lematematiche/article/view/254 |
| Summary: | Here we study holomorphic vector bundles on a two-dimensional holomorphically convex complex manifold <em>Y</em> . We present some characterizations of <em>Y</em> under which torsion free sheaves are filtrable. In the case when <em>Y = X × C</em>, where <em>X</em> is a connected compact Riemann surface, we study in what sense every holomorphic vector bundle may be approximated by a sequence of algebraic vector bundles.<br /> |
|---|---|
| ISSN: | 0373-3505 2037-5298 |