Liaison of varieties of small dimension and deficiency modules

Mathematics – Commutative Algebra

Scientific paper

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Scientific paper

This article studies the behaviour under liaison of the deficiency modules of
schemes that are not assumed to be Cohen-Macaulay. Our study uses in particular
a generalization of Serre duality, and gives a satisfactory description of this
behaviour in dimension at most three. On the way we show other properties of
linked schemes.

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