Remark on a conjecture of Mukai
Algebraic Geometry
2007-05-23 v1
Abstract
Let C be a general curve. Mukai asked whether for every stable rank 2 vector bundle E on C with det(E) = K, the multiplication map Sym^2 H^0(C,E) --> H^0(C, Sym^2 E) is injective. We observe that this holds when h^0(E) < 7 .
Cite
@article{arxiv.math/0610516,
title = {Remark on a conjecture of Mukai},
author = {Arnaud Beauville},
journal= {arXiv preprint arXiv:math/0610516},
year = {2007}
}
Comments
6 pages