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A Gieseker type degeneration of moduli stacks of vector bundles on curves
Author(s):
Ivan
Kausz
Journal:
Trans. Amer. Math. Soc.
357
(2005),
4897-4955.
MSC (2000):
Primary 14H60;
Secondary 14D06, 14A20
Posted:
December 28, 2004
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Additional information
Abstract:
We construct a new degeneration of the moduli stack of vector bundles over a smooth curve when the curve degenerates to a singular curve which is irreducible with one double point. We prove that the total space of the degeneration is smooth and its special fibre is a divisor with normal crossings. Furthermore, we give a precise description of how the normalization of the special fibre of the degeneration is related to the moduli space of vector bundles over the desingularized curve.
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Additional Information:
Ivan
Kausz
Affiliation:
NWF I - Mathematik, Universität Regensburg, 93040 Regensburg, Germany
Email:
ivan.kausz@mathematik.uni-regensburg.de
DOI:
10.1090/S0002-9947-04-03618-9
PII:
S 0002-9947(04)03618-9
Received by editor(s):
January 28, 2004
Posted:
December 28, 2004
Copyright of article:
Copyright
2004,
by the author
Forward Citation(s): Information for authors on submitting citations The following works have cited this article Jun Li, Moduli spaces associated to a singular variety and the moduli of bundles over universal curves, Vector bundles and representation theory (University of Missouri, Columbia, April 5--7, 2002), Contemp. Math., vol. 322, Amer. Math. Soc., Providence, RI, 2003, pp. 57--74. (english) MR 1987739
Ivan Kausz, A canonical decomposition of generalized theta functions on the moduli stack of Gieseker vector bundles, J. Algebraic Geom. 14 (2005), 439-480. (english) MR 2129007
Ivan Kausz, Twisted vector bundles on pointed nodal curves., Proc. Indian Acad. Sci. Math. Sci. 115 (2005), 147--165. (english) MR 2142462
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