Abstract

IfR/k resp.S/R are genetically smooth algebras of finite type, equidimensional of relative dimensiond resp.n, then the canonical isomorphism of meromorphic differential forms induces a homomorphism ωR/kd⊗ωS/Rn→S/kd+n of regular differential forms, which is an isomorphism ifR/k andS/R are Cohen-Macaulay or ifR/k is Gorenstein.

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