On a result of Faltings via tight closure
- Autores: Tirdad Sharif
- Localización: Proceedings of the American Mathematical Society, ISSN 0002-9939, Vol. 138, Nº 10, 2010, págs. 3495-3499
- Idioma: inglés
- DOI: 10.1090/s0002-9939-10-10379-7
- Enlaces
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Resumen
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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