13 citations · 15 across the 12 of their papers we have counts for
13 papers
Quasi-Hermitian Varieties and Their Barlotti--Cofman Representation
Angela Aguglia, Viola Siconolfi
Quasi-Hermitian varieties arise as higher-dimensional generalizations of non-classical unitals, including the Buekenhout--Metz (BM) and Buekenhout--Tits (BT) families. After review…
Minimal codes from hypersurfaces in even characteristic
Angela Aguglia, Luca Giuzzi, Giovanni Longobardi +1
The setting of projective systems can be used to study the parameters of a projective linear code . This can be done by considering the intersections of the point set…
Cohomology Rings of Toric Wonderful Model
Lorenzo Giordani, Roberto Pagaria, Viola Siconolfi
We describe the cohomology ring of toric wonderful models for arbitrary building set, including the case of non well-connected ones. Our techniques are based on blowups of posets,…
An isomorphism between models of graphic arrangements
Giovanni Gaiffi, Oscar Papini, Viola Siconolfi
This paper presents a bridge between the theories of wonderful models associated with toric arrangements and wonderful models associated with hyperplane arrangements. In a previous…
On mutually -intersecting quasi-Hermitian varieties with some applications
Angela Aguglia, Luca Giuzzi, Viola Siconolfi
Let be a non-empty set of points of a finite Desarguesian projective space . A collection of varieties of is \emph{mutually -in…
Chromatic functions, interval orders and increasing forests
Michele D'Adderio, Roberto Riccardi, Viola Siconolfi
The chromatic quasisymmetric functions (csf) of Shareshian and Wachs associated to unit interval orders have attracted a lot of interest since their introduction in 2016, both in c…
On quasi-Hermitian varieties in even characteristic and related orthogonal arrays
Angela Aguglia, Luca Giuzzi, Alessandro Montinaro +1
In this paper we study the BM quasi-Hermitian varieties introduced in [A. Aguglia, A. Cossidente, G. Korchmàros, On quasi-Hermitian Varieties, J. Combin. Des. 20 (2012) 433-447.] i…
Subgroup growth in free class--nilpotent groups
Viola Siconolfi, Marlies Vantomme, Christopher Voll
We describe an effective procedure to compute the local subgroup zeta functions of the free class--nilpotent groups on generators, for all . For , this yields a new,…
A basis for the cohomology of compact models of toric arrangements
Giovanni Gaiffi, Oscar Papini, Viola Siconolfi
In this paper we find monomial bases for the integer cohomology rings of compact wonderful models of toric arrangements. In the description of the monomials various combinatorial o…
Ricci curvature of Bruhat orders
Viola Siconolfi
We study the Ricci curvature of the Hasse diagrams of the Bruhat order of finite irreducible Coxeter groups. For this purpose we compute the maximum degree of these graphs for type…
Ricci curvature, Bruhat graphs and Coxeter groups
Viola Siconolfi
We consider the notion of discrete Ricci curvature for graphs defined by Schmuckenschl{ä}ger \cite{shmuck} and compute its value for Bruhat graphs associated to finite Coxeter grou…
Ricci curvature, graphs and eigenvalues
Viola Siconolfi
We express the discrete Ricci curvature of a graph as the minimal eigenvalue of a family of matrices, one for each vertex of a graph whose entries depend on the local adjaciency st…
Wonderful models for generalized Dowling arrangements
Giovanni Gaiffi, Viola Siconolfi
For any triple given by a positive integer n, a finite group G, and a faithful representation V of G, one can describe a subspace arrangement whose intersection lattice is a genera…