3 papers
math.GT2026
LA-MOKA: A Combinatorial Discretization Algorithm for the Braid Monodromy of Line Arrangements
Benoît Guerville-Ballé
Computing braid monodromy is a key tool for studying the topology of algebraic curves in the complex projective plane . We present an algorithm, named LA-MOKA, to com…
math.AG2024
On the nonconnectedness of moduli spaces of arrangements, II: construction of nonarithmetic pairs
Benoît Guerville-Ballé
Constructing lattice isomorphic line arrangements that are not lattice isotopic is a complex yet fundamental task. In this paper, we focus on such pairs but which are not Galois co…
math.AG2023
Connectedness and combinatorial interplay in the moduli space of line arrangements
Benoît Guerville-Ballé, Juan Viu-Sos
This paper aims to undertake an exploration of the behavior of the moduli space of line arrangements while establishing its combinatorial interplay with the incidence structure of…