Generalized Jouanolou duality, weakly Gorenstein rings, and applications to blowup algebras

Abstract

We provide a generalization of Jouanolou duality that is applicable to a plethora of situations. The environment where this generalized duality takes place is a new class of rings, that we introduce and call weakly Gorenstein. As a main consequence, we obtain a new general framework to investigate blowup algebras. We use our results to study and determine the defining equations of the Rees algebra of certain families of ideals.

arXiv commentto appear in Journal für die reine und angewandte Mathematik (Crelle's journal)