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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 rings.As a 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 for certain families of ideals.more » « lessFree, publicly-accessible full text available July 3, 2026
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Abstract We prove that double Schubert polynomials have the saturated Newton polytope property. This settles a conjecture by Monical, Tokcan and Yong. Our ideas are motivated by the theory of multidegrees. We introduce a notion of standardization of ideals that enables us to study nonstandard multigradings. This allows us to show that the support of the multidegree polynomial of each Cohen–Macaulay prime ideal in a nonstandard multigrading, and in particular, that of each Schubert determinantal ideal is a discrete polymatroid.more » « less
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