A canonical decomposition of generalized theta functions on the moduli stack of Gieseker vector bundles

Kausz, Ivan

doi:10.1090/S1056-3911-05-00407-8

Author: Ivan Kausz
Journal: J. Algebraic Geom. 14 (2005), 439-480
DOI: https://doi.org/10.1090/S1056-3911-05-00407-8
Published electronically: March 30, 2005
MathSciNet review: 2129007
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Abstract | References | Additional Information

Abstract: We use a Gieseker type degeneration of the moduli stack of vector bundles on a curve to prove a decomposition formula for generalized theta functions which is motivated by what in conformal field theory is called the factorization rule.

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Additional Information

Ivan Kausz
Affiliation: NWF I - Mathematik, Universität Regensburg, 93040 Regensburg, Germany
Email: ivan.kausz@mathematik.uni-regensburg.de

Received by editor(s): May 22, 2003
Received by editor(s) in revised form: August 28, 2004, and February 7, 2005
Published electronically: March 30, 2005
Additional Notes: Partially supported by the DFG