Mathematics – Algebraic Geometry
Scientific paper
2002-03-03
Mathematics
Algebraic Geometry
37 pages, LaTeX2e with amsmath, amsthm and amscd packages. To appear in J. Inst. Math. Jussieu (2003) with the first proof of
Scientific paper
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.
Chéniot D.
Libgober Anatoly
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