# name
Triangular arrangements on the projective plane

# metadata.dc.description.abstract[].value
In this work we study line arrangements consisting in lines passing through three  non-aligned points. We call them triangular arrangements. We prove that any combinatorics of a triangular arrangement is always realized by a Roots-of-Unity-Arrangement, which is a particular class of triangular arrangements. Among these Roots-of Unity-Arrangements, we provide conditions that ensure their freeness. Finally, we give two triangular arrangements having the same weak combinatorics, such that one is free but the other one is not.

# metadata.dc.relation.ispartof[].value
Epijournal de Geometrie Algebrique, 2023, vol. 7

# metadata.dc.source[].value
Articles publicats en revistes (Matemàtiques i Informàtica)

# metadata.dc.title[].value
Triangular arrangements on the projective plane