Antonino Ficarra

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20212026

most citedUpper bounds for Extremal Betti Numbers of

t

-Spread Strongly Stable Ideals

4 citations · 17 across the 50 of their papers we have counts for

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math.AC2025

On the gradient of a monomial ideal

Antonino Ficarra

Let $K$ be a field of characteristic zero, let $I \subset S = K [x_{1}, \dots, x_{n}]$ be a homogeneous ideal, and let $\partial (I)$ be its gradient ideal. We study the relationship betwe…

math.AC2025

Rees algebras of complementary edge ideals

Antonino Ficarra, Somayeh Moradi

In this paper we investigate the Rees algebras of squarefree monomial ideals $I \subset S = K [x_{1}, \dots, x_{n}]$ generated in degree $n - 2$ , where $K$ is a field. Every such ideal arises…

math.AC2025

Polymatroidal ideals and their asymptotic syzygies

Antonino Ficarra, Dancheng Lu

Let $I$ 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…

math.AC2025

Complementary edge ideals

Antonino Ficarra, Somayeh Moradi

Let $S = K [x_{1}, \dots, x_{n}]$ be the polynomial ring over a field $K$ and $I \subset S$ be a squarefree monomial ideal generated in degree $n - 2$ . Motivated by the remarkable behavior of…

math.AC2025

Stanley-Reisner ideals with linear powers

Antonino Ficarra, Somayeh Moradi

Let $S = K [x_{1}, \dots, x_{n}]$ be the standard graded polynomial ring over a field $K$ . In this paper, we address and completely solve two fundamental open questions in Commutative A…

math.AC2025

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…

math.CO2025

Generalizing blocking semiovals in finite projective planes

Marilena Crupi, Antonino Ficarra

Blocking semiovals and the determination of their (minimum) sizes constitute one of the central research topics in finite projective geometry. In this article we introduce the conc…

math.AC2025

Comparison of stability indices of powers of graded ideals

Antonino Ficarra, Emanuele Sgroi

In this paper, we compare the index of ass-stability $astab (I)$ and the index of $v$ -stability $vstab (I)$ of powers of a graded ideal $I$ . We prove that $\text…

math.AC2025

Edge ideals whose all matching powers are bi-Cohen-Macaulay

Marilena Crupi, Antonino Ficarra

We classify all graphs $G$ satisfying the property that all matching powers $I (G)^{[k]}$ of the edge ideal $I (G)$ are bi-Cohen-Macaulay for $1 \leq k \leq ν (G)$ , where $ν (G)$ is the max…

math.AC2025

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 $I$ , we conje…

math.AC2025

Algebraic study on permutation graphs

Antonino Ficarra, Somayeh Moradi

Let $G$ be a permutation graph. We show that $G$ is Cohen-Macaulay if and only if $G$ is unmixed and vertex decomposable. When this is the case, we obtain a combinatorial descripti…

math.AC2025

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…

math.AC2025

Edge ideals and their asymptotic syzygies

Antonino Ficarra, Ayesha Asloob Qureshi

Let $G$ be a finite simple graph, and let $I (G)$ denote its edge ideal. In this paper, we investigate the asymptotic behavior of the syzygies of powers of edge ideals through the l…