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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 resolution of singularities
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by Steven Dale Cutkosky PDF
Proc. Amer. Math. Soc. 128 (2000), 1905-1910 Request permission

Abstract:

We prove a local theorem on simultaneous resolution of singularities, which is valid in all dimensions. This theorem is proven in dimension 2 (and in all characteristics) by Abhyankar in his book “Ramification theoretic methods in algebraic geometry” (1959).
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Additional Information
  • Steven Dale Cutkosky
  • Affiliation: Department of Mathematics, University of Missouri, Columbia, Missouri 65211
  • MR Author ID: 53545
  • ORCID: 0000-0002-9319-0717
  • Email: dale@cutkosky.math.missouri.edu
  • Received by editor(s): April 27, 1998
  • Received by editor(s) in revised form: August 24, 1998
  • Published electronically: November 24, 1999
  • Additional Notes: The author was partially supported by NSF
  • Communicated by: Wolmer V. Vasconcelos
  • © Copyright 2000 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 128 (2000), 1905-1910
  • MSC (1991): Primary 13B15, 14B05
  • DOI: https://doi.org/10.1090/S0002-9939-99-05191-6
  • MathSciNet review: 1646312