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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

A cusp singularity with no Galois cover by a complete intersection


Author: David E. Anderson
Journal: Proc. Amer. Math. Soc. 132 (2004), 2517-2527
MSC (2000): Primary 14B05, 14J17
Published electronically: April 8, 2004
MathSciNet review: 2054775
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Abstract: With an explicit example, we confirm a conjecture by Neumann and Wahl that there exist cusps with no Galois cover by a complete intersection. Some computational techniques are reviewed, and a method for deciding whether a given cusp has a complete intersection Galois cover is developed.


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Additional Information

David E. Anderson
Affiliation: Department of Mathematics, Columbia University, New York, New York 10027
Address at time of publication: Department of Mathematics, University of Michigan, 2074 East Hall, Ann Arbor, Michigan 48109
Email: anderson@math.columbia.edu, dandersn@umich.edu

DOI: http://dx.doi.org/10.1090/S0002-9939-04-07302-2
PII: S 0002-9939(04)07302-2
Received by editor(s): December 6, 2001
Received by editor(s) in revised form: January 8, 2003
Published electronically: April 8, 2004
Additional Notes: Supported by the NSF’s VIGRE Fellowship through the Columbia University Department of Mathematics. The author is greatly indebted to Professor Walter Neumann for his guidance.
Communicated by: Ronald A. Fintushel
Article copyright: © Copyright 2004 American Mathematical Society