Spin Verlinde Spaces and Prym Theta Functions | Zendy

Oxbury W. M. | Zendy

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Spin Verlinde Spaces and Prym Theta Functions

Author(s) -

Oxbury W. M.

Publication year - 1999

Publication title -

proceedings of the london mathematical society

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 1.899

H-Index - 65

eISSN - 1460-244X

pISSN - 0024-6115

DOI - 10.1112/s0024611599001665

Subject(s) - pfaffian , mathematics , moduli space , line bundle , bundle , pure mathematics , algebraic curve , spin (aerodynamics) , product (mathematics) , theta function , line (geometry) , space (punctuation) , moduli , mathematical analysis , geometry , physics , quantum mechanics , linguistics , philosophy , materials science , composite material , thermodynamics

It is shown that the theta functions of level n on the principally polarised Prym varieties of an algebraic curve are dual to the 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. 1991 Mathematics Subject Classification : 14D20, 14H42, 14H60, 14K25.

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