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. This is joint work with Claudia Polini (University of Notre Dame) and Bernd Ulrich (Purdue University). Link: https://arxiv.org/abs/2205.03837.

Speaker’s webpage: https://ycid.github.io/