Journal of Algebraic Geometry

Journal of Algebraic Geometry

Online ISSN 1534-7486; Print ISSN 1056-3911

   
 
 

 

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: 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.


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Gerd Faltings
Affiliation: Max-Planck-Institut für Mathematik, Vivatsgasse 7, 53111 Bonn, Germany

DOI: https://doi.org/10.1090/S1056-3911-08-00499-2
Received by editor(s): January 16, 2007
Received by editor(s) in revised form: September 27, 2007
Published electronically: May 28, 2008

American Mathematical Society