On the base locus of the linear system of generalized theta functions

Details On the base locus of the linear system of generalized theta functions On the base locus of the linear system of generalized theta functions

2007-07-23

arxiv.org/abs/0707.3364v2

Mathematics

Algebraic Geometry

4 pages

Scientific paper

Let $\cM_r$ denote the moduli space of semi-stable rank-$r$ vector bundles with trivial determinant over a smooth projective curve $C$ of genus $g$. In this paper we study the base locus $\cB_r \subset \cM_r$ of the linear system of the determinant line bundle $\cL$ over $\cM_r$, i.e., the set of semi-stable rank-$r$ vector bundles without theta divisor. We construct base points in $\cB_{g+2}$ over any curve $C$, and base points in $\cB_4$ over any hyperelliptic curve.

Affiliated with

Also associated with

No associations

Rating

On the base locus of the linear system of generalized theta functions does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with On the base locus of the linear system of generalized theta functions, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and On the base locus of the linear system of generalized theta functions will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-109700