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Compositio Mathematica (2005), 141 : 1578-1588 Cambridge University Press
Copyright © Foundation Compositio Mathematica 2005
doi:10.1112/S0010437X05001405
 

Topology and combinatorics of real line arrangements

Enrique Artal Bartolo a1, Jorge Carmona Ruber a2, José Ignacio Cogolludo Agustín a3 and Miguel Marco Buzunáriz a4
a1 Departamento de Matemáticas, Campus Plaza de San Francisco s/n, E-50009 Zaragoza, Spain artal@unizar.es
a2 Departamento de Sistemas informáticos y programación, Universidad Complutense, Ciudad Universitaria s/n, E-28040 Madrid, Spain jcarmona@sip.ucm.es
a3 Departamento de Matemáticas, Campus Plaza de San Francisco s/n, E-50009 Zaragoza, Spain jicogo@unizar.es
a4 Departamento de Matemáticas, Campus Plaza de San Francisco s/n, E-50009 Zaragoza, Spain mmarco@unizar.es

Article author query
artal bartolo e   [Google Scholar] 
carmona ruber j   [Google Scholar] 
cogolludo agustin j   [Google Scholar] 
marco buzunariz m   [Google Scholar] 
 

Abstract

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

(Received September 24 2003)
(Accepted October 23 2004)


Key Words: line arrangements; braid monodromy.

Maths Classification

32S22; 14N20; 20F36 (primary); 20E18; 32S50; 57M05 (secondary).

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