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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(e) ISSN 0002-9939(p)

     

A useful semistability criterion

Author(s): Alexander Schmitt
Journal: Proc. Amer. Math. Soc. 129 (2001), 1923-1926.
MSC (1991): Primary 14L10, 14D25, 13A50
Posted: November 22, 2000
MathSciNet review: 1825898
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Abstract | References | Similar articles | Additional information

Abstract:

We provide a short proof for a semistability criterion which is crucial to the construction of master spaces which has drawn interest in recent research in Geometric Invariant Theory.


References:

1.
D. Mumford, Geometric Invariant Theory, Springer, 1965. MR 35:5451

2.
Ch. Okonek, A. Schmitt, A. Teleman, Master spaces for stable pairs, Topology 38 (1999), 117-39. MR 99h:14010

3.
Ch. Okonek, A. Teleman, Master spaces and the coupling principle: from geometric invariant theory to gauge theory, Commun. Math. Phys. 205 (1999), 437-58. CMP 2000:01

4.
M. Thaddeus, Geometric Invariant Theory and flips, J. AMS9 (1996), 691-775. MR 96m:14017

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Additional Information:

Alexander Schmitt
Affiliation: Universität GH Essen, FB6 Mathematik und Informatik, D-45117 Essen, Germany
Email: alexander.schmitt@uni-essen.de

DOI: 10.1090/S0002-9939-00-05898-6
PII: S 0002-9939(00)05898-6
Received by editor(s): November 23, 1998
Received by editor(s) in revised form: November 12, 1999
Posted: November 22, 2000
Communicated by: Ron Donagi
Copyright of article: Copyright 2000, American Mathematical Society




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