Liaison and Residual Intersection I

This will be a survey about the theory of (complete intersection) linkage and residual intersection. After reviewing results about linkage, we will focus on the more general notion of residual intersection. Residual intersections arise naturally in intersection theory, enumerative geometry, the study of Rees rings and integral closures, for instance. Of interest are the dimension and depth, the canonical module, and the defining equations of residual intersections.

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