A duality for Spin Verlinde spaces and Prym theta functions

Details A duality for Spin Verlinde spaces and Prym theta functions A duality for Spin Verlinde spaces and Prym theta functions

1999-12-13

arxiv.org/abs/math/9912102v1

Mathematics

Algebraic Geometry

18 pages

Scientific paper

We prove canonical isomorphisms between Spin Verlinde spaces, i.e, spaces of
global sections of a determinant line bundle over the moduli space of
semistable Spin-bundles over a smooth projective curve C, and the dual spaces
of theta functions over Prym varieties of unramified double covers of C.

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