English

A duality for Spin Verlinde spaces and Prym theta functions

Algebraic Geometry 2007-05-23 v1

Abstract

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.

Keywords

Cite

@article{arxiv.math/9912102,
  title  = {A duality for Spin Verlinde spaces and Prym theta functions},
  author = {C. Pauly and S. Ramanan},
  journal= {arXiv preprint arXiv:math/9912102},
  year   = {2007}
}

Comments

18 pages

R2 v1 2026-07-22T18:05:46.482Z