Journal of the American Mathematical Society

ISSN 1088-6834(online) ISSN 0894-0347(print)



The strange duality conjecture for generic curves

Author: Prakash Belkale
Journal: J. Amer. Math. Soc. 21 (2008), 235-258
MSC (2000): Primary 14H60; Secondary 14D20
Published electronically: April 25, 2007
MathSciNet review: 2350055
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Abstract: Let $ X$ be a smooth connected projective algebraic curve of genus $ g\geq 1$. The strange duality conjecture connects non-abelian theta functions of rank $ r$ and level $ k$ and those of rank $ k$ and level $ r$ on $ X$ (for $ SU(r)$ and $ \operatorname{U}(k)$, respectively). In this paper we prove this conjecture for $ X$ generic in the moduli space of curves of genus $ g$.

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Prakash Belkale
Affiliation: Department of Mathematics, University of North Carolina-Chapel Hill, CB #3250, Phillips Hall, Chapel Hill, North Carolina 27599

Received by editor(s): February 23, 2006
Published electronically: April 25, 2007
Additional Notes: The author was partially supported by NSF grant DMS-0300356.
Article copyright: © Copyright 2007 American Mathematical Society