activity
20032025
most citedCombinatorial Morse theory and minimality of hyperplane arrangements

44 citations · 74 across the 21 of their papers we have counts for

collaborators

23 papers

math.CO2025

Arithmetic non-very generic arrangements

Pragnya Das, Takuya Saito, Simona Settepanella

A discriminantal hyperplane arrangement B(n,k,A) is constructed from a given (generic) hyperplane arrangement A, which is classified as either very generic or non-very generic depe…

math.CO2022

A linear condition for non-very generic discriminantal arrangements

Simona Settepanella, So Yamagata

The discriminantal arrangement is the space of configurations of hyperplanes in generic position in a dimensional space (see \cite{MS}). Differently from the case in…

math.CO2022★ 2 cited

Non-very generic arrangements in low dimension

Takuya Saito, Simona Settepanella

The discriminantal arrangement has been introduced by Manin and Schectman in 1989 and it consists of all non-generic translates of a generic arrangem…

math.CO2022★ 2 cited

The Generalized Sylvester's And Orchard Problems Via Discriminantal arrangement

Pragnya Das, Elisa Palezzato, Simona Settepanella

In 1989 Manin and Schechtman defined the discriminantal arrangement associated to a generic arrangement of hyperplanes in a -di…

math.CO2021

On the non-very generic intersections in discriminantal arrangements

Simona Settepanella, So Yamagata

In 1985 Crapo introduced in \cite{Crapo} a new mathematical object that he called . Four years later, in 1989, Manin and Schechtman defined in \cite{…

math.OC2020

The robustness of the generalized Gini index

M. Franciosi, S. Settepanella, A. Terni

In this paper we introduce a map , which we call \textit{zonoid map}, from the space of all non-negative, finite Borel measures on with finite first moment to the…