A tight closure approach to a result of G. Faltings
classification
🧮 math.AC
keywords
resultfaltingsproofringsalgebraicapplicationapproachcharacteristic
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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 \cite{TW} for a simplification of the proof of the minimal deformation problem.
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