03 Contributo in periodico (Part of a journal)

03 Contributo in periodico (Part of a journal): [50467] Home page macrotipologia

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On the Hilbert function of general fat points in P1 × P1

We study the bi-graded Hilbert function of ideals of general fat points with same multiplicity in P1 × P1. Our first tool is the multiprojective-affine-projective method introduced by the second author in previous works with A. V. Geramita and A. Gimigliano where they solved the case of double points. In this way, we compute the Hilbert function when the smallest entry of the bi-degree is at most the multiplicity of the points. Our second tool is the differential Horace method introduced by J...

On minimal decompositions of low rank symmetric tensors

In this paper, we study the set of decompositions of symmetric tensors of low rank of any dimension and of arbitrary order and the Waring loci of points which appear in a decomposition of the tensor. We describe a new and complete stratification of the set of symmetric tensors of rank less than 5 by studying Hilbert function and regularity of ideals of points contained in the apolar ideal. For each stratum, we describe a procedure to compute a minimal apolar set of points, exploiting the alge...

"Fedele". Una nota per "Adelchi".

Il saggio prende spunto da un’annotazione di Manzoni sull’uso del termine fedele, riportata nelle note storiche dell’Adelchi. In essa egli tratteggia la diversa fortuna di questo vocabolo nella lingua francese, dove avrebbe mantenuto il suo significato medievale, e in quella italiana, dove invece l’avrebbe perduto. Causa di questa diversa fortuna linguistica sarebbe stata la divergente storia dei due paesi. A partire da quest’annotazione, il saggio ricostruisce nella sua prima parte le conosc...

A discrete districting plan

The outcome of elections is strongly dependent on the districting choices, making thus possible (and frequent) the gerrymandering phenomenon, i.e. politicians suitably changing the shape of electoral districts in order to win the forthcoming elections. While so far the problem has been treated using continuous analysis tools, it has been recently pointed out that a more realityadherent model would use the discrete geometry of graphs or networks. Here we propose a parameter-dependent discrete ...

OXTR Moderates Adverse Childhood Experience on Depression Risk among Incarcerated Males

OBJECTIVES: This study examined the moderation of an oxytocin receptor (OXTR) gene in the link between childhood adversity and depressive symptoms among incarcerated males. METHODS: Questionnaires about adverse childhood experiences and depressive symptoms, as well as genomic DNA from blood were collected among 608 incarcerated males (Mage = 32.4 years, SD = 9.41, 18–74 years). Moderation analysis was applied to examine the interaction between adverse childhood experiences (including abuse,...

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