Tensor product of coherent systems
Algebraic Geometry
2007-11-27 v1
Abstract
Let X be a smooth algebraic curve of genus g>=2. A stable vector bundle over X of degree d, rank n with at least k sections is called a Brill-Noether bundle of type (n,d,k). By tensoring coherent systems, we prove that most of the known Brill-Noether bundles define coherent systems of type (n,d,k) that are alpha-stables for all allowable alpha .
Cite
@article{arxiv.0711.3944,
title = {Tensor product of coherent systems},
author = {L. Brambila-Paz and Angela Ortega},
journal= {arXiv preprint arXiv:0711.3944},
year = {2007}
}
Comments
22 pages