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arXiv · 1208.4584

Monodromies at infinity of non-tame polynomials

Kiyoshi Takeuchi·Mihai Tibar
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Abstract

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.

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Kiyoshi Takeuchi, Mihai Tibar. 2012-12-05. Monodromies at infinity of non-tame polynomials. https://arxiv.org/abs/1208.4584

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