4 citations · 17 across the 50 of their papers we have counts for
53 papers · 1 filter
Symbolic Rees algebras of complementary edge ideals
Antonino Ficarra, Somayeh Moradi, Yuji Muta
Let be a finite simple graph on and let denote its complementary edge ideal in the polynomial ring . We give a combinatorial description, i…
Serre depth and local cohomology
Antonino Ficarra
We introduce a fundamental homological invariant, called Serre depth, which stratifies Serre's conditions in the same way that depth stratifies the Cohen-Macaulay property. We stud…
The stable set of associated primes of a complementary edge ideal
Antonino Ficarra
We explicitly determine the associated primes of every power of a complementary edge ideal, prove that they satisfy the persistence property, and compute the -function. I…
On the gradient of a monomial ideal
Antonino Ficarra
Let be a field of characteristic zero, let be a homogeneous ideal, and let be its gradient ideal. We study the relationship betwe…
Rees algebras of complementary edge ideals
Antonino Ficarra, Somayeh Moradi
In this paper we investigate the Rees algebras of squarefree monomial ideals generated in degree , where is a field. Every such ideal arises…
Polymatroidal ideals and their asymptotic syzygies
Antonino Ficarra, Dancheng Lu
Let be a polymatroidal ideal. In this paper, we study the asymptotic behavior of the homological shift ideals of powers of polymatroidal ideals. We prove that the first homolog…
Complementary edge ideals
Antonino Ficarra, Somayeh Moradi
Let be the polynomial ring over a field and be a squarefree monomial ideal generated in degree . Motivated by the remarkable behavior of…
Stanley-Reisner ideals with linear powers
Antonino Ficarra, Somayeh Moradi
Let be the standard graded polynomial ring over a field . In this paper, we address and completely solve two fundamental open questions in Commutative A…
Principal vector-spread Borel ideals
Marilena Crupi, Antonino Ficarra, Ernesto Lax
We study the class of squarefree principal vector-spread Borel ideals. We compute the minimal primary decomposition of these ideals and thereby we prove that they are sequentially…
Comparison of stability indices of powers of graded ideals
Antonino Ficarra, Emanuele Sgroi
In this paper, we compare the index of ass-stability and the index of -stability of powers of a graded ideal . We prove that $\text…
Edge ideals whose all matching powers are bi-Cohen-Macaulay
Marilena Crupi, Antonino Ficarra
We classify all graphs satisfying the property that all matching powers of the edge ideal are bi-Cohen-Macaulay for , where is the max…
Symbolic powers of polymatroidal ideals
Antonino Ficarra, Somayeh Moradi
In this paper, we investigate the componentwise linearity and the Castelnuovo-Mumford regularity of symbolic powers of polymatroidal ideals. For a polymatroidal ideal , we conje…
Algebraic study on permutation graphs
Antonino Ficarra, Somayeh Moradi
Let be a permutation graph. We show that is Cohen-Macaulay if and only if is unmixed and vertex decomposable. When this is the case, we obtain a combinatorial descripti…
Cotangent functors and Herzog's last theorem
Antonino Ficarra
We present the theory of cotangent functors following the approach of Palamodov, and a conjecture of Herzog relating the vanishing of certain cotangent functors to the property of…
Edge ideals and their asymptotic syzygies
Antonino Ficarra, Ayesha Asloob Qureshi
Let be a finite simple graph, and let denote its edge ideal. In this paper, we investigate the asymptotic behavior of the syzygies of powers of edge ideals through the l…
Sortable simplicial complexes and their associated toric rings
Antonino Ficarra, Somayeh Moradi
Let be a -flag sortable simplicial complex. We consider the toric ring and the Rees algebra of the facet ideals of pure skeletons of…
The homological shift algebra of a monomial ideal
Antonino Ficarra, Ayesha Asloob Qureshi
Let be the polynomial ring over a field , and let be a monomial ideal. In this paper, we introduce the th \textit{homological shift algebras…
Componentwise linear symbolic powers of edge ideals and Minh's conjecture
Antonino Ficarra, Somayeh Moradi, Tim Römer
In this paper, we study the componentwise linearity of symbolic powers of edge ideals. We propose the conjecture that all symbolic powers of the edge ideal of a cochordal graph are…
Monomial ideals whose all matching powers are Cohen-Macaulay
Antonino Ficarra, Somayeh Moradi
In the present paper, we aim to classify monomial ideals whose all matching powers are Cohen-Macaulay. We especially focus our attention on edge ideals. The Cohen-Macaulayness of t…
A new proof of the Herzog-Hibi-Zheng theorem
Antonino Ficarra
We give a new, elementary proof of the celebrated Herzog-Hibi-Zheng theorem on powers of quadratic monomial ideals.
The canonical trace of Cohen-Macaulay algebras of codimension 2
Antonino Ficarra
In the present paper, we investigate a conjecture of Jürgen Herzog. Let be a local regular ring with residue field or a positively graded -algebra, be a per…
The -function of powers of sums of ideals
Antonino Ficarra, Pedro Macias Marques
Let be a field, and be graded ideals. Set and let . The behaviour of the -functio…
Bounds on Dao numbers and applications to regular local rings
Antonino Ficarra, Cleto B. Miranda-Neto, Douglas S. Queiroz
The so-called Dao numbers are a sort of measure of the asymptotic behaviour of full properties of certain product ideals in a Noetherian local ring with infinite residue field…
Forests whose matching powers are linear
Nursel Erey, Antonino Ficarra
In this note, we classify all the weighted oriented forests whose edge ideals have the property that one of their matching powers has linear resolution.