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On the Brill-Noether problem for vector bundles
-
Georgios D Daskalopoulos
and
Richard A Wentworth
Published/Copyright:
March 11, 2008
Abstract
On an arbitrary compact Riemann surface, necessary and sufficient conditions are found for the existence of semistable vector bundles with slope between zero and one and a prescribed number of linearly independent holomorphic sections. Existence is achieved by minimizing the Yang-Mills-Higgs functional.
Received: 1997-04-14
Revised: 1997-10-29
Published Online: 2008-03-11
Published in Print: 1999-02-15
© Walter de Gruyter
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Articles in the same Issue
- Some remarks on linear structures in right distributive domains
- Distances between Banach spaces
- p-Extensions of free pro-p groups
- On the Brill-Noether problem for vector bundles
- On 4-dimensional elation Laguerre planes admitting simple Lie groups of automorphisms
- Geometric asymptotics and the logarithmic Sobolev inequality
- Contents
- Some remarks on linear structures in right distributive domains
- Distances between Banach spaces
- p-Extensions of free pro-p groups
- On the Brill - Noether problem for vector bundles
- On 4-dimensional elation Laguerre planes admitting simple Lie groups of automorphisms
- Geometric asymptotics and the logarithmic Sobolev inequality
- Instructions to Authors
- Editors
Articles in the same Issue
- Some remarks on linear structures in right distributive domains
- Distances between Banach spaces
- p-Extensions of free pro-p groups
- On the Brill-Noether problem for vector bundles
- On 4-dimensional elation Laguerre planes admitting simple Lie groups of automorphisms
- Geometric asymptotics and the logarithmic Sobolev inequality
- Contents
- Some remarks on linear structures in right distributive domains
- Distances between Banach spaces
- p-Extensions of free pro-p groups
- On the Brill - Noether problem for vector bundles
- On 4-dimensional elation Laguerre planes admitting simple Lie groups of automorphisms
- Geometric asymptotics and the logarithmic Sobolev inequality
- Instructions to Authors
- Editors
