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14 DIM (Browse shelf) Available 11071-01

Bibliogr. p. [249]-259. Index

The first part consists of three chapters and provides a detailed systematic description of the local topology associated with a hypersurface singularity. The author presents basic tools, methods and many results from the theory of affine hypersurfaces and resolution of singularities, the theory of knots and links, deformation theory and some other areas.
The second part also consists of three chapters. The main goal is to describe an approach to the computation of global topological invariants of complex algebraic hypersurfaces in projective or affine spaces based on knowledge of the local topological information of a singularity. First the author goes into the question of how one can compute the fundamental group of a hypersurface complement in a projective space. (MathSciNet)

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