English

On the zeta-function of a polynomial at infinity

Algebraic Geometry 2007-05-23 v1

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.

Keywords

Cite

@article{arxiv.math/9801093,
  title  = {On the zeta-function of a polynomial at infinity},
  author = {S. M. Gusein-Zade and I. Luengo and A. Melle-Hernandez},
  journal= {arXiv preprint arXiv:math/9801093},
  year   = {2007}
}

Comments

8 pages, AMSTeX

R2 v1 2026-07-22T17:57:30.735Z