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A duality for Spin Verlinde spaces and Prym theta functions

C. Pauly, S. Ramanan

math.AGarXiv:math/9912102

Abstract

We prove canonical isomorphisms between Spin Verlinde spaces, i.e, spaces of global sections of a determinant line bundle over the moduli space of semistable Spin-bundles over a smooth projective curve C, and the dual spaces of theta functions over Prym varieties of unramified double covers of C.

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