Work

On the Brill-Noether Problem for Vector Bundles

Year: 1995

Type: preprint

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.

Source: arXiv (Cornell University)

DOI: 10.48550/arxiv.alg-geom/9510005

Authors: Daskalopoulos, Georgios, Wentworth, Richard

Language: English

Topic: Algebraic Geometry and Number Theory

Subfield: Geometry and Topology

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

OpenAlex ID: W1972846360

Cites: 5

Cited by: 1

Related to: 10