Generic section of a hyperplane arrangement and twisted Hurewicz maps |
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| Authors: | Masahiko Yoshinaga |
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| Affiliation: | Department of Mathematics, Graduate School of Science, Kobe University, 1-1 Rokkodai, Kobe 657-8501, Japan |
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| Abstract: | We consider a twisted version of the Hurewicz map on the complement of a hyperplane arrangement. The purpose of this paper is to prove surjectivity of the twisted Hurewicz map under some genericity conditions. As a corollary, we also prove that a generic section of the complement of a hyperplane arrangement has nontrivial homotopy groups. |
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| Keywords: | Hyperplane arrangements Local system homology groups Twisted Hurewicz map Homotopy groups Lefschetz theorem |
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