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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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On a result of Faltings via tight closure
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by Tirdad Sharif PDF
Proc. Amer. Math. Soc. 138 (2010), 3495-3499 Request permission

Abstract:

Using a result in the theory of tight closure on $F$-rational rings, we prove a criterion for local rings of positive prime characteristic to be complete intersections. As an application of our criterion, we give a new and simple proof for an extension of an algebraic result of Faltings that was used by Taylor and Wiles for a simplification of the proof of the minimal deformation problem.
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Additional Information
  • Tirdad Sharif
  • Affiliation: School of Mathematics, Institute for Research in Fundamental Sciences (IPM), P.O. Box 19395-5746, Tehran, Iran
  • Email: sharif@ipm.ir
  • Received by editor(s): April 28, 2009
  • Received by editor(s) in revised form: January 13, 2010
  • Published electronically: May 10, 2010
  • Additional Notes: The author was supported by a grant from IPM (No. 83130311).
  • Communicated by: Bernd Ulrich
  • © Copyright 2010 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 138 (2010), 3495-3499
  • MSC (2010): Primary 13A35, 14M10
  • DOI: https://doi.org/10.1090/S0002-9939-10-10379-7
  • MathSciNet review: 2661549