Antonino Ficarra

activity

20242026

collaborators

23 papers

math.AC2026

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…

math.AC2026

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 $v$ -function. I…

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

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…