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Journal of the London Mathematical Society 2001 63(3):513-532; doi:10.1017/S0024610701002095
© 2001 by London Mathematical Society
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© The London Mathematical Society

A Duality for Spin Verlinde Spaces and Prym Theta Functions

C. Pauly and S. Ramanan

Laboratoire J.-A. Dieudonné, Université de Nice Sophia Antipolis Parc Valrose, 06108 Nice Cedex 02, France, pauly{at}math.unice.fr
Tata Institute of Fundamental Research Homi Bhabha Road, Bombay 400005, India, ramanan{at}math.tifr.res.in

Received 21 July 2000.

The paper proves canonical isomorphisms between Spin Verlinde spaces, that is, spaces of global sections of a determinant line bundle over the moduli space of semistable Spinn-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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