Vector bundles on curves and theta functions

Abstract

This is a (short) survey lecture on the "theta map" from the moduli space of SL_r bundles on a curve C to the projective space of r-th order theta functions on JC . Some recent results and a few open problems about that map are discussed.

One wrong conjecture removed, one reference added

References in corpus (3)

• Vector bundles on curves and generalized theta functions: recent results and open problems
• Stable maps and Quot schemes
• The moduli space of rank-3 vector bundles with trivial determinant over a curve of genus 2 and duality

Cited by in corpus (4)

• The hyperelliptic theta map and osculating projections
• Orthogonal bundles on curves and theta functions
• Raynaud vector bundles
• Raynaud's vector bundles and base points of the generalized Theta divisor