On the connectivity of complex affine hypersurfaces II

Author

Alexandru Dimca and Laurentiu Paunescu

Status

Research Report 98-29
Date:30 March 1999

Abstract

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
Secondary:14P25

Content

The paper is available in the following forms:

TeX dvi format:: 1998-29.dvi.gz (18kB) or 1998-29.dvi (41kB)
PostScript:: 1998-29.ps.gz (42kB) or 1998-29.ps (131kB)

To minimize network load, please choose the smaller gzipped .gz form if and only if your browser client supports it.

Sydney Mathematics and Statistics