21 citations · 100 across the 15 of their papers we have counts for
9 papers · 1 filter
On strongly Koszul algebras and tidy Gröbner bases
Alessio D'Alì
Strongly Koszul algebras were introduced by Herzog, Hibi and Restuccia in 2000. The goal of the present paper is to provide an in-depth study of such algebras and to investigate ho…
Koszul Gorenstein algebras from Cohen-Macaulay simplicial complexes
Alessio D'Alì, Lorenzo Venturello
We associate with every pure flag simplicial complex a standard graded Gorenstein -algebra whose homological features are largely dictated by the combinatoric…
Graded algebras with cyclotomic Hilbert series
Alessio Borzì, Alessio D'Alì
Let be a positively graded algebra over a field. We say that is Hilbert-cyclotomic if the numerator of its reduced Hilbert series has all of its roots on the unit circle. S…
The Koszul property for spaces of quadrics of codimension three
Alessio D'Alì
In this paper we prove that, if is an algebraically closed field of characteristic different from 2, almost all quadratic standard graded -algebras suc…
Resolutions of letterplace ideals of posets
Alessio D'Alì, Gunnar Fløystad, Amin Nematbakhsh
We investigate resolutions of letterplace ideals of posets. We develop topological results to compute their multigraded Betti numbers, and to give structural results on these Betti…
Resolutions of co-letterplace ideals and generalizations of Bier spheres
Alessio D'Alì, Gunnar Fløystad, Amin Nematbakhsh
We give the resolutions of co-letterplace ideals of posets in a completely explicit, very simple form. This generalizes and simplifies a number of linear resolutions in the literat…
Edge ideals and DG algebra resolutions
Adam Boocher, Alessio D'Alì, Eloísa Grifo +2
Let where and is a homogeneous ideal in . The acyclic closure of over is a DG algebra resolution obtained by…
On the growth of deviations
Adam Boocher, Alessio D'Alì, Eloísa Grifo +2
The deviations of a graded algebra are a sequence of integers that determine the Poincare series of its residue field and arise as the number of generators of certain DG algebras.…
Toric ideals associated with gap-free graphs
Alessio D'Alì
In this article we prove that every toric ideal associated with a gap-free graph has a squarefree lexicographic initial ideal. Moreover, in the particular case when the complem…