Ranks of maps of vector bundles
Algebraic Geometry
2023-06-27 v2
Abstract
We generalize to vector bundles the techniques introduced for line bundles in prior work of the author with Liu, Osserman and Zhang. We then use this method to prove the injectivity of the Petri map for vector bundles and the surjectivity of a map related to deformation theory of Poincar\'e sheaves.
Cite
@article{arxiv.2208.04414,
title = {Ranks of maps of vector bundles},
author = {Montserrat Teixidor i Bigas},
journal= {arXiv preprint arXiv:2208.04414},
year = {2023}
}
Comments
Added more detailed background material. To appear in RevMath.Comp