Holomorphic vector bundles on holomorphically convex surface

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>...

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Bibliographic Details
Main Authors: Edoardo Ballico, Elizabeth Gasparim
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
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spelling doaj-d2cc42409d99421db8b93ebcb3e774822020-11-25T03:56:16ZengUniversità degli Studi di CataniaLe Matematiche0373-35052037-52982000-05-01551315230Holomorphic vector bundles on holomorphically convex surfaceEdoardo BallicoElizabeth GasparimHere 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 />http://www.dmi.unict.it/ojs/index.php/lematematiche/article/view/254
collection DOAJ
language English
format Article
sources DOAJ
author Edoardo Ballico
Elizabeth Gasparim
spellingShingle Edoardo Ballico
Elizabeth Gasparim
Holomorphic vector bundles on holomorphically convex surface
Le Matematiche
author_facet Edoardo Ballico
Elizabeth Gasparim
author_sort Edoardo Ballico
title Holomorphic vector bundles on holomorphically convex surface
title_short Holomorphic vector bundles on holomorphically convex surface
title_full Holomorphic vector bundles on holomorphically convex surface
title_fullStr Holomorphic vector bundles on holomorphically convex surface
title_full_unstemmed Holomorphic vector bundles on holomorphically convex surface
title_sort holomorphic vector bundles on holomorphically convex surface
publisher Università degli Studi di Catania
series Le Matematiche
issn 0373-3505
2037-5298
publishDate 2000-05-01
description 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 />
url http://www.dmi.unict.it/ojs/index.php/lematematiche/article/view/254
work_keys_str_mv AT edoardoballico holomorphicvectorbundlesonholomorphicallyconvexsurface
AT elizabethgasparim holomorphicvectorbundlesonholomorphicallyconvexsurface
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