Viola Siconolfi

activity

20242026

collaborators

5 papers

math.CO2026

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…

math.CO2025

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 $C$ . This can be done by considering the intersections of the point set…

math.CO2025

On mutually $I^¼$ -intersecting quasi-Hermitian varieties with some applications

Angela Aguglia, Luca Giuzzi, Viola Siconolfi

Let $W$ be a non-empty set of points of a finite Desarguesian projective space $PG (n, q)$ . A collection of varieties of $PG (n, q)$ is \emph{mutually $I^¼$ -i…

math.CO2024

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. KorchmÃ ros, On quasi-Hermitian Varieties, J. Combin. Des. 20 (2012) 433-447.]…

math.GR2024

Subgroup growth in free class- $2$ -nilpotent groups

Viola Siconolfi, Marlies Vantomme, Christopher Voll

We describe an effective procedure to compute the local subgroup zeta functions of the free class- $2$ -nilpotent groups on $d$ generators, for all $d$ . For $d = 4$ , this yields a new,…