Emanuele Sgroi

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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

Asymptotic behaviour of integer programming and the $v$ -function of a graded filtration

Antonino Ficarra, Emanuele Sgroi

The $v$ -function of a graded filtration $I = {I_{[k]}}_{k \geq 0}$ is introduced. Under the assumption that $I$ is Noetherian, we prove that the $v$ -…

math.AC2025

The size of the Betti table of Binomial Edge Ideals

Antonino Ficarra, Emanuele Sgroi

Let $G$ be a finite simple graph on $n$ non-isolated vertices, and let $J_{G}$ be its binomial edge ideal. We determine almost all pairs $(projdim (J_{G}), reg (J_{G}))$ , wher…

Comparison of stability indices of powers of graded ideals

Asymptotic behaviour of integer programming and the v-function of a graded filtration

The size of the Betti table of Binomial Edge Ideals

Asymptotic behaviour of integer programming and the $v$ -function of a graded filtration