On the zeta-function of a polynomial at infinity

Details On the zeta-function of a polynomial at infinity On the zeta-function of a polynomial at infinity

1998-01-21

arxiv.org/abs/math/9801093v1

Mathematics

Algebraic Geometry

8 pages, AMSTeX

Scientific paper

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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