Kiyoshi Takeuchi, Mihai Tibar
Published 2012-08-22, updated 2012-12-05Version 2
We consider the monodromy at infinity and the monodromies around the bifurcation points of polynomial functions $f : \CC^n \longrightarrow \CC$ which are not tame and might have non-isolated singularities. Our description of their Jordan blocks in terms of the Newton polyhedra and the motivic Milnor fibers relies on two new issues: the non-atypical eigenvalues of the monodromies and the corresponding concentration results for their generalized eigenspaces.
Comments: 22 pages. more remarks. arXiv admin note: text overlap with arXiv:0912.5144
On the sizes of the Jordan blocks of monodromies at infinity
Monodromy at infinity of polynomial maps and Newton polyhedra (with Appendix by C. Sabbah)
Local Zeta Functions for Rational Functions and Newton Polyhedra
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