Theta functions on moduli spaces of $G$-bundles
Author:
Gerd Faltings
Journal:
J. Algebraic Geom. 18 (2009), 309-369
DOI:
https://doi.org/10.1090/S1056-3911-08-00499-2
Published electronically:
May 28, 2008
MathSciNet review:
2475817
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Abstract |
References |
Additional Information
Abstract: We extend results on the Hitchin fibration to positive characteristics. We derive from the Verlinde formula the existence of canonical divisors on moduli space of $G$-bundles, first in characteristic zero and then (using the previous) also in positive characteristics. It remains open to give a geometric definition. We compute the central charge for some geometrically defined divisors.
References
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References
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Additional Information
Gerd Faltings
Affiliation:
Max-Planck-Institut für Mathematik, Vivatsgasse 7, 53111 Bonn, Germany
Received by editor(s):
January 16, 2007
Received by editor(s) in revised form:
September 27, 2007
Published electronically:
May 28, 2008