Topology and combinatorics of real line arrangements

Details Topology and combinatorics of real line arrangements Topology and combinatorics of real line arrangements

2003-07-22

arxiv.org/abs/math/0307296v2

Mathematics

Algebraic Geometry

13 pages, 2 figures, accepted in Compositio Math

Scientific paper

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

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