Maps between moduli spaces of vector bundles and the base locus of the theta divisor

Details Maps between moduli spaces of vector bundles and the base locus of the theta divisor Maps between moduli spaces of vector bundles and the base locus of the theta divisor

2007-06-27

arxiv.org/abs/0706.3953v1

Mathematics

Algebraic Geometry

6 pages

Scientific paper

Given a vector bundle $E$ of rank $r$ and degree $d$ on a curve $C$ of genus $g$, one can associate to $E$ in a natural way several other vector bundles. For example, one can take wedge powers of $E$. If $E$ is generated by global sections, the kernel of the evaluation map of sections is again a vector bundle. Also, new vector bundles can be produced by taking elementary transformations centered at a fixed point. Under suitable conditions on degree and rank, these constructions can be carried out globally. While all this processes seem quite elementary, very little is known about the resulting maps. The purpose of this paper is to fill in this gap.

Affiliated with

Also associated with

No associations

Rating

Maps between moduli spaces of vector bundles and the base locus of the theta divisor 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 Maps between moduli spaces of vector bundles and the base locus of the theta divisor, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Maps between moduli spaces of vector bundles and the base locus of the theta divisor will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-255428