Spin Verlinde spaces and Prym theta functions

1996/02/09 by W. M. Oxbury, Oxbury, W. M. · 1 citation
Mathematics · Physics and Astronomy · #Advanced Algebra and Geometry #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #FOS: Mathematics #Nonlinear Waves and Solitons

paper · pdf · doi:10.48550/arxiv.alg-geom/9602008

openalex publication_date 1996/02/09 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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.

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