21 citations · 45 across the 8 of their papers we have counts for
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math.DS2014
Combinatorics of line arrangements and polynomial vector fields
Benoît Guerville-Ballé, Juan Viu-Sos
Let be a real line arrangement and the module of -derivations view as the set of polynomial vector fields which possess $\math…
math.GT2014★ 21 cited
An arithmetic Zariski 4-tuple of twelve lines
Benoît Guerville-Ballé
Using the invariant developed in [6], we differentiate four arrangements with the same combinatorial information but in different deformation classes. From these arrangements, we c…
math.GT2014★ 12 cited
A topological invariant of line arrangements
Enrique Artal Bartolo, Vincent Florens, Benoît Guerville-BallÉ
We define a new topological invariant of line arrangements in the complex projective plane. This invariant is a root of unity defined under some combinatorial restrictions for arra…