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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 .