Excess dimensions for Brill-Noether schemes of stable vector bundles

Abstract

We extend a result by Fulton-Harris-Lazarsfeld in Brill-Noehter theory of line bundles and, as well, a result by Aprod-Sernesi in theory of Secant Loci, to the Brill-Noehter locus of stable bundles inside the moduli space of higher rank stable vector bundles on a smooth projective algebraic curve. We give some consequences of this extended result.

arXiv commentThere was a gap in the proof of Theorem 3.1. The gap is modified for rank two case in new version