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Localisation de la lissite formelle

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Abstract

A formally smooth morphism A→B between local noetherian rings gives a formlly smooth morphism AP→BQ for any prime ideal Q if this property holds for B=Â. Regular excellent rings of characteristic p>0 and separated modules of absolute differentials.

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Bibliographie

  1. André, M.: Homologie des algèbres commutatives. Berlin-Heidelberg-New-York. Springer Verlag 1974

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  3. Brezuleanu, A. - Radu, N.: Sur la localisation de la lissité formelle. C.R. Acad. Sci. Paris276 439–441 (1973)

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  4. Grothendieck, A.: Eléments de géométrie algèbrique 4. Première partie. Paris. Presses Universitaires 1960

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  5. Seydi, H.: Un critère jacobien des points simples. C.R. Acad. Sci. Paris276 475–478 (1973)

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Authors and Affiliations

  1. Département de Mathématiques, Ecole Polytechnique Fédérale de Lausanne, 1007, Lausanne, Suisse

    Michel André

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  1. Michel André
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André, M. Localisation de la lissite formelle. Manuscripta Math 13, 297–307 (1974). https://doi.org/10.1007/BF01168230

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  • DOI: https://doi.org/10.1007/BF01168230

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