Zariski-van Kampen theorem for higher homotopy groups

D. Chéniot; A. Libgober

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arXiv · math/0203019

Zariski-van Kampen theorem for higher homotopy groups

D. Chéniot·A. Libgober

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Abstract

This paper gives an extension of the classical Zariski-van Kampen theorem describing the fundamental groups of the complements of plane singular curves by generators and relations. It provides a procedure for computation of the first non-trivial higher homotopy groups of the complements of singular projective hypersurfaces in terms of the homotopy variation operators introduced here.

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BibTeX RIS

D. Chéniot, A. Libgober. 2003-03-01. Zariski-van Kampen theorem for higher homotopy groups. https://arxiv.org/abs/math/0203019

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