Mathematics – Algebraic Geometry
Scientific paper
1996-02-09
Mathematics
Algebraic Geometry
47 pages, LaTeX
Scientific paper
Theta functions of level n on the principally polarised Prym varieties of an algebraic curve are dual to 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.
Oxbury W. M.
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