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On a result of Faltings via tight closure
Author:
Tirdad Sharif
Journal:
Proc. Amer. Math. Soc. 138 (2010), 3495-3499
MSC (2010):
Primary 13A35, 14M10
Posted:
May 10, 2010
MathSciNet review:
2661549
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Abstract: Using a result in the theory of tight closure on  -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
DOI:
http://dx.doi.org/10.1090/S0002-9939-10-10379-7
PII:
S 0002-9939(10)10379-7
Keywords:
Complete intersection algebras,
deformation algebras,
Hecke algebras,
tight closure
Received by editor(s):
April 28, 2009
Received by editor(s) in revised form:
January 13, 2010
Posted:
May 10, 2010
Additional Notes:
The author was supported by a grant from IPM (No. 83130311).
Communicated by:
Bernd Ulrich
Article copyright:
© Copyright 2010 American Mathematical Society
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