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On atypical values and local monodromies of meromorphic functions

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

A meromorphic function on a compact complex analytic manifold defines a $\bc\infty$ locally trivial fibration over the complement of a finite set in the projective line $\bc\bp^1$. We describe zeta-functions of local monodromies of this fibration around atypical values. Some applications to polynomial functions on $\bc^n$ are described.

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S. M. Gusein-Zade, I. Luengo, A. Melle-Hernandez. 1998-04-14. On atypical values and local monodromies of meromorphic functions. https://arxiv.org/abs/math/9804071

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