On the fundamental group of the complement of a complex hyperplane arrangement

Details On the fundamental group of the complement of a complex hyperplane arrangement On the fundamental group of the complement of a complex hyperplane arrangement

1998-05-12

arxiv.org/abs/math/9805056v1

Functional Analysis and its Applications Volume 45 (2011), Number 2, 137-148

Mathematics

Algebraic Geometry

12 pages, Latex2e with AMSLaTeX 1.2, no figures

Scientific paper

10.1007/s10688-011-0015-8

In this paper (which appeared in DIMACS Tech. report in April 1994) we construct two combinatorially equivalent line arrangements in complex projective plane such that the fundamental groups of their complements are not isomorphic. In the proof we use a new invariant of the fundamental group of the complement of a line arrangement with prescribed combinatorial type with respect to isomorphisms inducing the canonical isomorphism of first homology groups.

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