On the Brill-Noether Problem for Vector Bundles
classification
alg-geom
math.AG
keywords
bundlesexistencevectorachievedarbitrarybrill-noethercompactconditions
read the original 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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