Complete intersection dimension
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Publications Mathématiques de l'IHÉS
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Luchezar L. Avramov, Vesselin N. Gasharov, Irena V. Peeva (1997)
Publications Mathématiques de l'IHÉS
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Let a be an ideal of a commutative ring A. There is a kind of duality between the left derived functors Ui a of the a-adic completion functor, called local homology functors, and the local cohomology functors Ha i. Some dual results are obtained for these Ui a, and also inequalities involving both local homology...
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We give a short proof of the Jacobian criterion of formal smoothness using the Lichtenbaum-Schlessinger cotangent complex.