On the zeta-function of a polynomial at infinity

S. M. Gusein-Zade; I. Luengo; A. Melle-Hernandez

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On the zeta-function of a polynomial at infinity

S. M. Gusein-Zade·I. Luengo·A. Melle-Hernandez

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Abstract

We use the notion of Milnor fibres of the germ of a meromorphic function and the method of partial resolutions for a study of topology of a polynomial map at infinity (mainly for calculation of the zeta-function of a monodromy). It gives effective methods of computation of the zeta-function for a number of cases and a criterium for a value to be atypical at infinity.

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BibTeX RIS

S. M. Gusein-Zade, I. Luengo, A. Melle-Hernandez. 1998-01-21. On the zeta-function of a polynomial at infinity. https://arxiv.org/abs/math/9801093

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