1 citations · 1 across the 9 of their papers we have counts for
10 papers
Algebraic invariants of special fiber rings of ladder determinantal modules
Alessandra Costantini, Louiza Fouli, Kriti Goel +4
We provide explicit formulas for key invariants of special fiber rings of ladder determinantal modules, that is, modules that are direct sums of ideals of maximal minors of a ladde…
On Rees algebras of ideals and modules with weak residual conditions
Alessandra Costantini, Edward F. Price, Matthew Weaver
Let be a module of projective dimension one over . If is presented by a matrix with linear entries and the number of generators of is bounded l…
On Rees algebras of linearly presented ideals and modules
Alessandra Costantini, Edward F. Price, Matthew Weaver
Let be a perfect ideal of height two in and let denote its Hilbert-Burch matrix. When has linear entries, the algebraic structure of the Rees al…
Rees algebras and generalized depth-like conditions in prime characteristic
Alessandra Costantini, Kyle Maddox, Lance Edward Miller
In this article we address a question concerning nilpotent Frobenius actions on Rees algebras and associated graded rings. We prove a nilpotent analog of a theorem of Huneke for Co…
The combinatorial structure of symmetric strongly shifted ideals
Alessandra Costantini, Alexandra Seceleanu
Symmetric strongly shifted ideals are a class of monomial ideals which come equipped with an action of the symmetric group and are analogous to the well-studied class of strongly s…
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 $\…