The moduli space of rank-3 vector bundles with trivial determinant over a curve of genus 2 and duality

Details The moduli space of rank-3 vector bundles with trivial determinant over a curve of genus 2 and duality The moduli space of rank-3 vector bundles with trivial determinant over a curve of genus 2 and duality

2004-08-23

arxiv.org/abs/math/0408318v2

Mathematics

Algebraic Geometry

20 pages. v2

Scientific paper

Let SU_X(3) be the moduli space of semi-stable vector bundles of rank 3 and trivial determinant on a curve X of genus 2. It maps onto P^8 and the map is a double cover branched over a sextic hypersurface called the Coble sextic. In the dual P^8 there is a unique cubic hypersurface, the Coble cubic, singular exactly along the abelian surface of degree 1 line bundles on X. We give a new proof that these two hypersurfaces are dual. As an immediate corollary, we derive a Torelli-type result.

Affiliated with

Also associated with

No associations

Rating

The moduli space of rank-3 vector bundles with trivial determinant over a curve of genus 2 and duality 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 The moduli space of rank-3 vector bundles with trivial determinant over a curve of genus 2 and duality, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and The moduli space of rank-3 vector bundles with trivial determinant over a curve of genus 2 and duality will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-249398