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VOL. 43 | 2006 Homotopy groups of complements to ample divisors
Anatoly Libgober

Editor(s) Shyuichi Izumiya, Goo Ishikawa, Hiroo Tokunaga, Ichiro Shimada, Takasi Sano

Abstract

Homotopy groups of the complements to divisors with ample components on non-singular projective varieties are considered as the modules over the fundamental group. We prove a vanishing theorem and consider the calculation of supports of these modules by relating them to the cohomology of local systems. We review previous work on the local study of isolated non-normal crossings. As an application, we obtain information about the support loci of homotopy groups of arrangements of hyperplanes.

Information

Published: 1 January 2006
First available in Project Euclid: 3 January 2019

zbMATH: 1134.14014
MathSciNet: MR2325138

Digital Object Identifier: 10.2969/aspm/04310179

Rights: Copyright © 2006 Mathematical Society of Japan

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