On the connectivity of complex affine hypersurfaces II


Alexandru Dimca and Laurentiu Paunescu


Research Report 98-29
Date:30 March 1999


In this paper we extend a result concerning the connectivity of an arbitrary fibre of a complex polynomial (due to the first author). We show that a (usually) much better estimate is obtained considering the decomposition of the given polynomial in terms of an arbitrary system of weights. Some important corollaries are also presented.

Key phrases

fibre. polynomials. connectivity. Thom-Sebastiani construction. De Rham complex. Koszul complex.

AMS Subject Classification (1991)

Primary: 14B05


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