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The mixed Hodge structure on the fundamental group of the fiber type 2-arrangement

Published online by Cambridge University Press:  22 January 2016

Yukihito Kawahara
Yukihito Kawahara*
Affiliation:
Department of Mathematical Sciences, University of Tokyo, Komaba, Meguro-ku, Tokyo 153, Japan
*
Department of Mathematics, Tokyo Metropolitan University, Minami-ohsawa, Hachioji 192-03, JapankawaharaQmath.metro-u.ac.jp
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Abstract

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The complement of an arrangement of hyperplanes is a good example of the mixed Hodge structure on the fundamental group of an algebraic variety. We compute its isomorphic class using iterated integrals in the fiber type case and then get the combinatorial and projective invariant.

Type
Research Article
Information
Nagoya Mathematical Journal , Volume 147 , September 1997 , pp. 113 - 135
Copyright
Copyright © Editorial Board of Nagoya Mathematical Journal 1997

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