Publication: Topology and combinatorics of real line arrangements.
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Publication Date
2005
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Cambridge University Press
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Abstract
We prove the existence of complexified real arrangements with the same combinatorics but different embeddings in P2. Such a pair of arrangements has an additional property:
they admit conjugated equations on the ring of polynomials over Q(√5).
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The GAP Group, Aachen, St. Andrews, GAP – Groups,Algorithms, and Programming, version 4.2 (2000),available at http://www.gap-system.org.
G. Rybnikov, On the fundamental group of the complement of a complex hyperplane arrangement,Preprint (1998),arXiv:math.AG/9805056.