A tight closure approach to a result of G. Faltings

Abstract

Using a result of M. Hochster and C. Huneke on F-rational rings a criterion for complete intersection rings of characteristic p>0 is presented. As an application, we give a completely different proof for an algebraic result of G. Faltings that was used by Taylor and Wiles in TW for a simplification of the proof of the minimal deformation problem.

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