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THE FUNDAMENTAL GROUP OF THE COMPLEMENT OF A HYPERSURFACE IN $ \mathbf C^n$
- Source :
- Mathematics of the USSR-Izvestiya. 38:399-418
- Publication Year :
- 1992
- Publisher :
- IOP Publishing, 1992.
-
Abstract
- Let be a complex algebraic hypersurface in not passing through the point . The generators of the fundamental group and the relations among them are described in terms of the real cone over with apex at . This description is a generalization to the algebraic case of Wirtinger's corepresentation of the fundamental group of a knot in . A new proof of Zariski's conjecture about commutativity of the fundamental group for a projective nodal curve is given in the second part of the paper based on the description of the generators and the relations in the group obtained in the first part.
Details
- ISSN :
- 00255726
- Volume :
- 38
- Database :
- OpenAIRE
- Journal :
- Mathematics of the USSR-Izvestiya
- Accession number :
- edsair.doi...........b9b265c0501a394fc1c71a4725a5641b