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arXiv · alg-geom/9510005

On the Brill-Noether Problem for Vector Bundles

Georgios Daskalopoulos·Richard Wentworth
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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.

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BibTeXRIS

Georgios Daskalopoulos, Richard Wentworth. 1995-10-05. On the Brill-Noether Problem for Vector Bundles. https://arxiv.org/abs/alg-geom/9510005

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