Some stable vector bundles with reducible theta divisors
Algebraic Geometry
2007-05-23 v1
Abstract
Let C be a curve of genus g and L a line bundle of degree 2g on C . Let M be the kernel of the evaluation map from the trivial bundle with fibre H^0(C,L) into L . We show that when L is general enough, the rank g bundle M and its exterior powers are stable and admit a reducible theta divisor.
Cite
@article{arxiv.math/0209089,
title = {Some stable vector bundles with reducible theta divisors},
author = {Arnaud Beauville},
journal= {arXiv preprint arXiv:math/0209089},
year = {2007}
}
Comments
7 pages, Plain TeX