Petri map for vector bundles near good bundles
Algebraic Geometry
2012-03-23 v2
Abstract
We show that on a generic curve and under some conditions on the degree and genus, there exists a component B of the locus of stable vector bundles of rank r and degree d with at least k sections of the expected dimension such that for a generic vector bundle E of B, the Petri map is injective.
Cite
@article{arxiv.1203.0983,
title = {Petri map for vector bundles near good bundles},
author = {Abel Castorena and Alberto López Martín and Montserrat Teixidor i Bigas},
journal= {arXiv preprint arXiv:1203.0983},
year = {2012}
}
Comments
11 pages