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Session II.6 - Computational Algebraic Geometry

Saturday, June 17, 17:30 ~ 18:00

Duality and blow-up algebras

Yairon Cid Ruiz

KU Leuven, Belgium   -   This email address is being protected from spambots. You need JavaScript enabled to view it.

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.

Joint work with Claudia Polini (University of Notre Dame) and Bernd Ulrich (Purdue University).

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