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A cusp singularity with no Galois cover by a complete intersection
Author(s):
David
E.
Anderson
Journal:
Proc. Amer. Math. Soc.
132
(2004),
2517-2527.
MSC (2000):
Primary 14B05, 14J17
Posted:
April 8, 2004
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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.
References:
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- 2.
- U. Karras, Eigenschaften der lokalen Ringe in zweidimensionalen Spitzen, Math. Ann. 215 (1975), 117-129. MR 51:10679
- 3.
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- W. D. Neumann and Jonathan Wahl, Universal abelian covers of quotient-cusps, Math. Ann. 326 (2003), 75-93. MR 2004d:32039
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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:
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
Posted:
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
Copyright of article:
Copyright
2004,
American Mathematical Society
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