Duality and Socle Generators for Residual Intersections
David Eisenbud, Bernd Ulrich

TL;DR
This paper explores the duality properties and the structure of socle generators in residual intersections within commutative algebra, providing new insights and methods for understanding their algebraic properties.
Contribution
It introduces novel duality principles and characterizations of socle generators specifically for residual intersections, advancing theoretical understanding in algebraic geometry.
Findings
Established new duality theorems for residual intersections
Characterized socle generators in terms of duality
Provided corrected proofs and additional references
Abstract
Paper has been accepted for publication in the Journal f\"ur die reine und Angewandte Mathematik. This version contains the corrections and additional references made in the Galley proofs.
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