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On the holonomy Lie algebra and the nilpotent completion of the fundamental group of the complement of hypersurfaces

Published online by Cambridge University Press:  22 January 2016

Toshitake Kohno
Toshitake Kohno*
Affiliation:
Department of Mathematics, Faculty of Science, Nagoya University, Chikusa-ku, Nagoya 464, Japan
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The purpose of this paper is to establish the following isomorphism of Lie algebras.

Main Theorem. Let X be the complement of a hypersurface S in the complex projective space PN. Then the tower of nilpotent complex Lie algebras associated with the fundamental group π1(X, *) and the holonomy Lie algebraattached to S are isomorphic.

Type
Research Article
Information
Nagoya Mathematical Journal , Volume 92 , December 1983 , pp. 21 - 37
Copyright
Copyright © Editorial Board of Nagoya Mathematical Journal 1983

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