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

Grigory Rybnikov

doi:10.1007/s10688-011-0015-8

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

Grigory Rybnikov

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Abstract

We construct two combinatorially equivalent line arrangements in the complex projective plane such that the fundamental groups of their complements are not isomorphic. The proof uses a new invariant of the fundamental group of the complement to a line arrangement of a given combinatorial type with respect to isomorphisms inducing the canonical isomorphism of the first homology groups.

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Grigory Rybnikov. 1998-05-12. On the fundamental group of the complement of a complex hyperplane arrangement. https://doi.org/10.1007/s10688-011-0015-8

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