Marchesi, SimoneVallès, Jean2024-02-232024-02-232023-05-022491-6765https://hdl.handle.net/2445/208003In 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.20 p.application/pdfengcc-by-sa (c) Marchesi, S. et al., 2023http://creativecommons.org/licenses/by-sa/4.0/Geometria discretaÀlgebra homològicaSingularitats (Matemàtica)Discrete geometryHomological algebraSingularities (Mathematics)info:eu-repo/semantics/article7410862024-02-23info:eu-repo/semantics/openAccess