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SPIN VERLINDE SPACES AND PRYM THETA FUNCTIONS

Published online by Cambridge University Press:  01 January 1999

W. M. OXBURY
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Abstract

It is shown that the theta functions of level $n$ on the principally polarised Prym varieties of an algebraic curve are dual to the sections of the orthogonal theta line bundle on the moduli space of Spin($n$)-bundles over the curve. As a by-product of our computations, we also note that when $n$ is odd, the Pfaffian line bundle on moduli space has a basis of sections labelled by the even theta characteristics of the curve.

Type
Research Article
Information
Proceedings of the London Mathematical Society , Volume 78 , Issue 1 , January 1999 , pp. 52 - 76
Copyright
© 1999 The London Mathematical Society

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