Topology and combinatorics of real line arrangements

2005/11/01 by Enrique Artal Bartolo, Jorge Carmona Ruber, José Ignacio Cogolludo Agustín +1 · 3 citations
Mathematics · Computer Science · #Advanced Combinatorial Mathematics #Polynomial and algebraic computation #Algebraic Geometry and Number Theory

paper · pdf · doi:10.1112/s0010437x05001405

Abstract

We prove the existence of complexified real arrangements with the same combinatorics but different embeddings in P 2 . Such a pair of arrangements has an additional property: they admit conjugated equations on the ring of polynomials over Q( 5).

Cited by

• Homology of Local Systems on Real Line Arrangement Complements
• The Milnor fiber boundary of an arrangement determines its combinatorics
• LA-MOKA: A Combinatorial Discretization Algorithm for the Braid Monodromy of Line Arrangements

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