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ZARISKI–VAN KAMPEN THEOREM FOR HIGHER-HOMOTOPY GROUPS
Published online by Cambridge University Press: 16 September 2003
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.
AMS 2000 Mathematics subject classification: Primary 14F35; 14D05; 32S20; 32S50. Secondary 14J70; 32S25; 55P99
- Type
- Research Article
- Information
- Journal of the Institute of Mathematics of Jussieu , Volume 2 , Issue 4 , October 2003 , pp. 495 - 527
- Copyright
- 2003 Cambridge University Press