The strange duality conjecture for generic curves

2006/02/01 by Prakash Belkale, Belkale, Prakash · 1 citation
Mathematics · #14H60 #14N35 #Algebraic Geometry (math.AG) #FOS: Mathematics #Representation Theory (math.RT) #math.AG #math.RT #msc:14H60 #msc:14N35

paper · pdf · doi:10.48550/arxiv.math/0602018

22 pages, improvements in exposition and minor corrections

arxiv created 2006/02/22 · arxiv updated 2009/12/01

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.

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