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 | References | Similar Articles | Additional Information

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

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