The Space of Unordered Real Line Arrangements
نویسندگان
چکیده
منابع مشابه
Topology and combinatorics of real line arrangements
We prove the existence of complexified real arrangements with the same combinatorics but different embeddings in P. Such pair of arrangements has an additional property: they admit conjugated equations on the ring of polynomials over Q( √ 5).
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Let A be a real line arrangement in P(R), and let AC be its complexification. Let CC be the complement P (C) \ ⋃ AC. Let G be the Galois group of C/R. We construct a G-equivariant 2-dimensional strong deformation retract of CC. As an application, we give an explicit presentation of the orbifold fundamental group π1(CC//G), and deduce from it an explicit presentation of the ordinary fundamental ...
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ژورنال
عنوان ژورنال: Discrete & Computational Geometry
سال: 2004
ISSN: 0179-5376,1432-0444
DOI: 10.1007/s00454-004-1113-7