Spin Verlinde spaces and Prym theta functions
alg-geom
2008-02-03 v1 Algebraic Geometry
Abstract
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.
Cite
@article{arxiv.alg-geom/9602008,
title = {Spin Verlinde spaces and Prym theta functions},
author = {W. M. Oxbury},
journal= {arXiv preprint arXiv:alg-geom/9602008},
year = {2008}
}
Comments
47 pages, LaTeX