English

The strange duality conjecture for generic curves

Algebraic Geometry 2007-05-23 v2 Representation Theory

Abstract

For X a compact Riemann surface of positive genus, the strange duality conjecture predicts that the space of sections of certain theta bundle on moduli of bundles of rank r and level k is naturally dual to a similar space of sections of rank k and level r. We prove this conjecture for X generic in the moduli space of curves of a given genus.

Keywords

Cite

@article{arxiv.math/0602018,
  title  = {The strange duality conjecture for generic curves},
  author = {Prakash Belkale},
  journal= {arXiv preprint arXiv:math/0602018},
  year   = {2007}
}

Comments

22 pages, improvements in exposition and minor corrections