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.
fibre. polynomials. connectivity. Thom-Sebastiani construction.
De Rham complex. Koszul complex.
AMS Subject Classification (1991)
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Sydney Mathematics and Statistics