2010/09/19 by Luca Moci, Moci, Luca, Simona Settepanella +1
Computer Science · Mathematics · #05E45 #20F55 #52C35 #55P19 #Advanced Combinatorial Mathematics #Algebraic Topology (math.AT) #Computational Geometry and Mesh Generation #FOS: Mathematics #Geometric Topology (math.GT) #Geometric and Algebraic Topology #Representation Theory (math.RT)
paper · pdf · doi:10.48550/arxiv.1009.3622
openalex publication_date 2010/09/19 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
A toric arrangement is a finite set of hypersurfaces in a complex torus, every hypersurface being the kernel of a character. In the present paper we build a CW-complex homotopy equivalent to the arrangement complement, with a combinatorial description similar to that of the well-known Salvetti complex. If the toric arrangement is defined by a Weyl group we also provide an algebraic description, very handy for cohomology computations. In the last part we give a description in terms of tableaux for a toric arrangement appearing in robotics.