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The strange duality conjecture for generic curves

Prakash Belkale
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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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Prakash Belkale. 2006-02-22. The strange duality conjecture for generic curves. https://arxiv.org/abs/math/0602018

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