Vector bundles on curves and theta functions

2005/02/09 by Arnaud Beauville, Beauville, Arnaud · 1 citation
Mathematics · #Algebraic Geometry (math.AG) #FOS: Mathematics #math.AG

paper · pdf · doi:10.48550/arxiv.math/0502179

One wrong conjecture removed, one reference added

arxiv created 2005/02/11 · arxiv updated 2009/12/01

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.

Cited by

• Stability of syzygy bundles over certain curves of compact type

Related

• Orthogonal bundles on curves and theta functions
• Theta Functions and Szegö Kernels
• Vector bundles on curves and generalized theta functions: recent results and open problems
• Vector bundles and theta functions on curves of genus 2 and 3
• Separation properties of theta functions