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Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

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Simultaneous Surface Resolution in Cyclic Galois Extensions
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by Shreeram S. Abhyankar and Nan Gu PDF
Proc. Amer. Math. Soc. 136 (2008), 449-452 Request permission

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.
References
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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
  • 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
  • © Copyright 2007 American Mathematical Society
    The copyright for this article reverts to public domain 28 years after publication.
  • Journal: Proc. Amer. Math. Soc. 136 (2008), 449-452
  • MSC (2000): Primary 14A05
  • DOI: https://doi.org/10.1090/S0002-9939-07-09269-6
  • MathSciNet review: 2358482