Spin Verlinde Spaces and Prym Theta Functions |
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Authors: | Oxbury W M |
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Institution: | Department of Mathematical Sciences, Science Laboratories South Road, Durham, DH1 3LE. E-mail: w.m.oxbury{at}durham.ac.uk |
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Abstract: | It is shown that the theta functions of level n on the principallypolarised Prym varieties of an algebraic curve are dual to thesections of the orthogonal theta line bundle on the moduli spaceof 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 onmoduli space has a basis of sections labelled by the even thetacharacteristics of the curve. 1991 Mathematics Subject Classification:14D20, 14H42, 14H60, 14K25. |
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