5 papers
Residual Intersections and Core of Modules
Alessandra Costantini, Louiza Fouli, Jooyoun Hong
We introduce the notion of residual intersections of modules and prove their existence. We show that projective dimension one modules have Cohen-Macaulay residual intersections, na…
Rees algebras of ideals of star configurations
Alessandra Costantini, Ben Drabkin, Lorenzo Guerrieri
In this article we study the defining ideal of Rees algebras of ideals of star configurations. We characterize when these ideals are of linear type and provide sufficient condition…
Cohen-Macaulay fiber cones and defining ideal of Rees algebras of modules
Alessandra Costantini
Generic Bourbaki ideals were introduced by Simis, Ulrich and Vasconcelos to study the Cohen-Macaulay property of Rees algebras of modules. In this article we prove that the same te…
On the Cohen-Macaulay property of the Rees algebra of the module of differentials
Alessandra Costantini, Tan Dang
Let be an algebra essentially of finite type over a field and let be its module of Kähler differentials over . If is a homogeneous complete intersection and…
Residual intersections and modules with Cohen-Macaulay Rees algebra
Alessandra Costantini
In this paper, we consider a finite, torsion-free module over a Gorenstein local ring. We provide sufficient conditions for to be of linear type and for the Rees algebra $\…