Antonino Ficarra

activity

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

collaborators

Showing 2022 · math.ACShow all

10 papers · 2 filters

math.AC2022

The canonical trace of determinantal rings

Antonino Ficarra, Jürgen Herzog, Dumitru I. Stamate +1

We compute the canonical trace of generic determinantal rings and provide a sufficient condition for the trace to specialize. As an application we determine the canonical trace $\m…

math.AC2022

Dirac's theorem and multigraded syzygies

Antonino Ficarra, Jürgen Herzog

Let $G$ be a simple finite graph. A famous theorem of Dirac says that $G$ is chordal if and only if $G$ admits a perfect elimination order. It is known by Fröberg that the edge ide…

math.AC2022

Linear resolutions of $t$ -spread lexsegment ideals via Betti splittings

Marilena Crupi, Antonino Ficarra

Let $S = K [x_{1}, \dots, x_{n}]$ be a polynomial ring in $n$ variables with coefficients over a field $K$ . A $t$ -spread lexsegment ideal $I$ of $S$ is a monomial ideal generated by a $t$ -s…

math.AC2022

Behaviour of the normalized depth function

Antonino Ficarra, Jürgen Herzog, Takayuki Hibi

Let $I \subset S = K [x_{1}, \dots, x_{n}]$ be a squarefree monomial ideal, $K$ a field. The $k$ th squarefree power $I^{[k]}$ of $I$ is the monomial ideal of $S$ generated by all squarefree…

math.AC2022

A note on minimal resolutions of vector-spread Borel ideals

Marilena Crupi, Antonino Ficarra

We consider vector-spread Borel ideals. We show that these ideals have linear quotients and thereby we determine the graded Betti numbers and the bigraded Poincaré series. A charac…

math.AC2022

Classification of Cohen-Macaulay $t$ -spread lexsegment ideals via simplicial complexes

Marilena Crupi, Antonino Ficarra

We study the minimal primary decomposition of completely $t$ -spread lexsegment ideals via simplicial complexes. We determine some algebraic invariants of such a class of $t$ -spread…

math.AC2022★ 2 cited

Homological shifts of polymatroidal ideals

Antonino Ficarra

We study the homological shifts of polymatroidal ideals. In our main theorem we prove that the first homological shift ideal of any polymatroidal ideal is again polymatroidal, supp…

math.AC2022

Projective dimension and Castelnuovo-Mumford regularity of t-spread ideals

Luca Amata, Marilena Crupi, Antonino Ficarra

We study some algebraic invariants of $t$ -spread ideals, $t \geq 1$ , such as the projective dimension and the Castelnuovo-Mumford regularity, by means of well-known graded resolution…

math.AC2022

Vector-spread monomial ideals and Eliahou-Kervaire type resolutions

Antonino Ficarra

We introduce the class of vector-spread monomial ideals. This notion generalizes that of $t$ -spread ideals introduced by Ene, Herzog and Qureshi. In particular, we focus on vector-…

math.AC2022

Shifting operations and completely $t$ -spread lexsegment ideals

Antonino Ficarra, Marilena Crupi

In this paper we introduce the concepts of arbitrary $t$ -spread lexsegments and of arbitrary $t$ -spread lexsegment ideals with $t$ a positive integer. These concepts are a natural…

The canonical trace of determinantal rings

Dirac's theorem and multigraded syzygies

Linear resolutions of t-spread lexsegment ideals via Betti splittings

Behaviour of the normalized depth function

A note on minimal resolutions of vector-spread Borel ideals

Classification of Cohen-Macaulay t-spread lexsegment ideals via simplicial complexes

Homological shifts of polymatroidal ideals

Projective dimension and Castelnuovo-Mumford regularity of t-spread ideals

Vector-spread monomial ideals and Eliahou-Kervaire type resolutions

Shifting operations and completely t-spread lexsegment ideals

Linear resolutions of $t$ -spread lexsegment ideals via Betti splittings

Classification of Cohen-Macaulay $t$ -spread lexsegment ideals via simplicial complexes

Shifting operations and completely $t$ -spread lexsegment ideals