Luca Amata

most citedUpper bounds for Extremal Betti Numbers of

t

-Spread Strongly Stable Ideals

4 citations · 9 across the 6 of their papers we have counts for

collaborators

6 papers

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.AC2021★ 1 cited

Cohen-Macaulay generalized binomial edge ideals

Luca Amata, Marilena Crupi, Giancarlo Rinaldo

Let $G$ be a simple graph on $n$ vertices and let $J_{G, m}$ be the generalized binomial edge ideal associated to $G$ in the polynomial ring $K [x_{ij}, 1 \leq i \leq m, 1 \leq j \leq n]$ .…

math.AC2021★ 1 cited

Computational methods for t-spread monomial ideals

Luca Amata

Let $K$ be a field and $S = K [x_{1}, \dots, x_{n}]$ a standard polynomial ring over $K$ . In this paper, some new optimized algorithms to compute the smallest $t$ -spread lexicographic set…

math.AC2021

A numerical characterization of the extremal Betti numbers of $t$ -spread strongly stable Ideals

Luca Amata, Antonino Ficarra, Marilena Crupi

Let $K$ be a field and let $S = K [x_{1}, \dots, x_{n}]$ be a standard polynomial ring over a field $K$ . We characterize the extremal Betti numbers, values as well positions, of a $t$ -sprea…

math.AC2021★ 4 cited

Upper bounds for Extremal Betti Numbers of $t$ -Spread Strongly Stable Ideals

Luca Amata, Antonino Ficarra, Marilena Crupi

We study the extremal Betti numbers of the class of $t$ --spread strongly stable ideals. More precisely, we determine the maximal number of admissible extremal Betti numbers for suc…

math.AC2021★ 3 cited

On the extremal Betti numbers of squarefree monomial ideals

Luca Amata, Marilena Crupi

Let $K$ be a field and $S = K [x_{1}, \dots, x_{n}]$ be a polynomial ring over $K$ . We discuss the behaviour of the extremal Betti numbers of the class of squarefree strongly stable ideal…