Zobrazeno 1 - 10
of 5 821
pro vyhledávání: '"A, Ficarra"'
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:
Lumetti, Luca, Pipoli, Vittorio, Marchesini, Kevin, Ficarra, Elisa, Grana, Costantino, Bolelli, Federico
Recently, the field of 3D medical segmentation has been dominated by deep learning models employing Convolutional Neural Networks (CNNs) and Transformer-based architectures, each with their distinctive strengths and limitations. CNNs are constrained
Externí odkaz:
http://arxiv.org/abs/2410.15496
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, Giuseppe, Lousto, Carlos O.
We perform a systematic study of eccentric orbiting nonspinning black hole binaries. We first make a technical study of the optimal full numerical techniques to apply to these studies. We choose different gauge parameters and Courant factors, $c=dx/d
Externí odkaz:
http://arxiv.org/abs/2409.18728
Autor:
Ficarra, Antonino
We give a new, elementary proof of the celebrated Herzog-Hibi-Zheng theorem on powers of quadratic monomial ideals.
Externí odkaz:
http://arxiv.org/abs/2409.15853
Autor:
Ficarra, Giuseppe, Lousto, Carlos O.
We revisit the three black hole scenario with numerical relativity techniques to study hierarchical configurations where the inner binary contains highly spinning black holes. We find that the merger time of the binary gets a delay (with a number of
Externí odkaz:
http://arxiv.org/abs/2406.11985
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
Diffusion Models have revolutionized the field of human motion generation by offering exceptional generation quality and fine-grained controllability through natural language conditioning. Their inherent stochasticity, that is the ability to generate
Externí odkaz:
http://arxiv.org/abs/2405.03803