A Duality for Spin Verlinde Spaces and Prym Theta Functions | Zendy

Pauly C. | Zendy; Ramanan S. | Zendy

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A Duality for Spin Verlinde Spaces and Prym Theta Functions

Author(s) -

Pauly C.,

Ramanan S.

Publication year - 2001

Publication title -

journal of the london mathematical society

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 1.441

H-Index - 62

eISSN - 1469-7750

pISSN - 0024-6107

DOI - 10.1017/s0024610701002095

Subject(s) - mathematics , moduli space , pure mathematics , duality (order theory) , line bundle , spin (aerodynamics) , bundle , space (punctuation) , projective line , projective space , projective test , physics , computer science , materials science , composite material , thermodynamics , operating system

The paper proves canonical isomorphisms between Spin Verlinde spaces, that is, spaces of global sections of a determinant line bundle over the moduli space of semistable Spin n ‐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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