A tight closure approach to a result of G. Faltings

Mathematics – Commutative Algebra

Scientific paper

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Scientific paper

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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