Existence of vector bundles of rank two with fixed determinant and sections
Algebraic Geometry
2010-07-15 v1
Abstract
Consider the scheme B_{2,L}^k of stable vector bundles of rank two and fixed determinant L which have at least k sections. Under suitable numerical conditions and for generic L, we show the existence of a component of the expected dimension of B_{2,L}^k.
Cite
@article{arxiv.1007.2308,
title = {Existence of vector bundles of rank two with fixed determinant and sections},
author = {Montserrat Teixidor i Bigas},
journal= {arXiv preprint arXiv:1007.2308},
year = {2010}
}
Comments
To appear in Proceedings of the Japanese Academy of Science