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

 

Simultaneous Surface Resolution in Cyclic Galois Extensions


Authors: Shreeram S. Abhyankar and Nan Gu
Journal: Proc. Amer. Math. Soc. 136 (2008), 449-452
MSC (2000): Primary 14A05
Published electronically: November 1, 2007
MathSciNet review: 2358482
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Abstract: We show that simultaneous surface resolution is not always possible in a cyclic extension whose degree is greater than three and is not divisible by the characteristic. This answers a recent question of Ted Chinburg.


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Additional Information

Shreeram S. Abhyankar
Affiliation: Department of Mathematics, Purdue University, West Lafayette, Indiana 47907
Email: ram@cs.purdue.edu

Nan Gu
Affiliation: Department of Mathematics, Purdue University, West Lafayette, Indiana 47907
Email: ngu@math.purdue.edu

DOI: http://dx.doi.org/10.1090/S0002-9939-07-09269-6
PII: S 0002-9939(07)09269-6
Received by editor(s): August 28, 2006
Received by editor(s) in revised form: November 9, 2006
Published electronically: November 1, 2007
Communicated by: Ted Chinburg
Article copyright: © Copyright 2007 American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication.