On the Brill-Noether Problem for Vector Bundles
alg-geom
2008-02-03 v1 代数几何
摘要
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.
引用
@article{arxiv.alg-geom/9510005,
title = {On the Brill-Noether Problem for Vector Bundles},
author = {Georgios Daskalopoulos and Richard Wentworth},
journal= {arXiv preprint arXiv:alg-geom/9510005},
year = {2008}
}
备注
LaTeX 2e (amsart)