Existence of coherent systems
Algebraic Geometry
2007-05-23 v1
Abstract
A coherent system of type (r,d,k) on a curve C is a pair (E,V) where E is a vector bundle of rank r and degree d and V is a space of sections of E of dimension k. There is a condition of stability on coherent systems that depends on a parameter \alpha and allows to construct moduli spaces for such pairs. This paper shows non-emptiness of these moduli spaces when k>r and some mild conditions on the degree and genus are satisfied.
Cite
@article{arxiv.math/0606348,
title = {Existence of coherent systems},
author = {Montserrat Teixidor i Bigas},
journal= {arXiv preprint arXiv:math/0606348},
year = {2007}
}
Comments
To appear in International Journal of Mathematics