Real line arrangements and fundamental groups

نویسنده

  • J. Huisman
چکیده

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 group π1(CC). MSC 2000: 14P25, 52C30, 57M05

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تاریخ انتشار 2003