Zobrazeno 1 - 10
of 131
pro vyhledávání: '"Ficarra Antonino"'
Autor:
Crupi Marilena, Ficarra Antonino
Publikováno v:
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, Vol 31, Iss 2, Pp 71-84 (2023)
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 characterization of the extremal Betti numbers of such a class of ideals
Externí odkaz:
https://doaj.org/article/c79f9b40de7d47c3a5129061a69332cb
In this paper, we study the componentwise linearity of symbolic powers of edge ideals. We propose the conjecture that all symbolic powers of the edge ideal of a cochordal graph are componentwise linear. This conjecture is verified for some families o
Externí odkaz:
http://arxiv.org/abs/2411.11537
Autor:
Ficarra, Antonino, Moradi, Somayeh
In the present paper, we aim to classify monomial ideals whose all matching powers are Cohen-Macaulay. We especially focus our attention on edge ideals. The Cohen-Macaulayness of the last matching power of an edge ideal is characterized, providing an
Externí odkaz:
http://arxiv.org/abs/2410.01666
Autor:
Ficarra, Antonino
We give a new, elementary proof of the celebrated Herzog-Hibi-Zheng theorem on powers of quadratic monomial ideals.
Comment: Updated version. We thank Than Vu and Dang Hop Nguyen for some comments on an earlier draft of the manuscript, and Somay
Comment: Updated version. We thank Than Vu and Dang Hop Nguyen for some comments on an earlier draft of the manuscript, and Somay
Externí odkaz:
http://arxiv.org/abs/2409.15853
Autor:
Ficarra, Antonino
In the present paper, we investigate a conjecture of J\"urgen Herzog. Let $S$ be a local regular ring with residue field $K$ or a positively graded $K$-algebra, $I\subset S$ be a perfect ideal of grade two, and let $R=S/I$ with canonical module $\ome
Externí odkaz:
http://arxiv.org/abs/2406.07517
Let $K$ be a field, $I\subset R=K[x_1,\dots,x_n]$ and $J\subset T=K[y_1,\dots,y_m]$ be graded ideals. Set $S=R\otimes_KT$ and let $L=IS+JS$. The behaviour of the $\text{v}$-function $\text{v}(L^k)$ in terms of the $\text{v}$-functions $\text{v}(I^k)$
Externí odkaz:
http://arxiv.org/abs/2405.16882
The so-called Dao numbers are a sort of measure of the asymptotic behaviour of full properties of certain product ideals in a Noetherian local ring $R$ with infinite residue field and positive depth. In this paper, we answer a question of H. Dao on h
Externí odkaz:
http://arxiv.org/abs/2405.10192
Autor:
Erey, Nursel, Ficarra, Antonino
In this note, we classify all the weighted oriented forests whose edge ideals have the property that one of their matching powers has linear resolution.
Comment: This paper contains section 4 of the preprint arXiv:2309.13771 and was splitted fro
Comment: This paper contains section 4 of the preprint arXiv:2309.13771 and was splitted fro
Externí odkaz:
http://arxiv.org/abs/2403.17797
Autor:
Crupi, Marilena, Ficarra, Antonino
Publikováno v:
Mathematics 2024, 12(6), 912
In this paper, we give a new criterion for the Cohen-Macaulayness of vertex splittable ideals, a family of monomial ideals recently introduced by Moradi and Khosh-Ahang. Our result relies on a Betti splitting of the ideal and provides an inductive wa
Externí odkaz:
http://arxiv.org/abs/2403.14299
Autor:
Ficarra, Antonino, Sgroi, Emanuele
The $\text{v}$-function of a graded filtration $\mathcal{I}=\{I_{[k]}\}_{k\ge0}$ is introduced. Under the assumption that $\mathcal{I}$ is Noetherian, we prove that the $\text{v}$-function $\text{v}(I_{[k]})$ is an eventually quasi-linear function. T
Externí odkaz:
http://arxiv.org/abs/2403.08435