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SPIN VERLINDE SPACES AND PRYM THETA FUNCTIONS
Published online by Cambridge University Press: 01 January 1999
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.
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- © 1999 The London Mathematical Society
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