A duality for Spin Verlinde spaces and Prym theta functions

1999/12/13 by C. Pauly, S. Ramanan, Pauly, C. +1 · 1 citation
Mathematics · #Advanced Algebra and Geometry #Advanced Operator Algebra Research #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #FOS: Mathematics #math.AG

paper · pdf · doi:10.48550/arxiv.math/9912102

18 pages

arxiv created 1999/12/13 · openalex publication_date 1999/12/13 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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.

Cited by

• Abelianization of the SL₂ Hitchin connection at level four

Related

• Prym Varieties and the Moduli of Spin Bundles
• Spin Verlinde spaces and Prym theta functions
• Vector bundles on curves and generalized theta functions: recent results and open problems
• Orthogonal bundles, theta characteristics and the symplectic strange duality
• Orthogonal bundles on curves and theta functions