On the Brill-Noether Problem for Vector Bundles

Details On the Brill-Noether Problem for Vector Bundles On the Brill-Noether Problem for Vector Bundles

1995-10-05

arxiv.org/abs/alg-geom/9510005v1

Mathematics

Algebraic Geometry

LaTeX 2e (amsart)

Scientific paper

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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