Monodromies at infinity of non-tame polynomials

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.

22 pages. more remarks. arXiv admin note: text overlap with arXiv:0912.5144

References in corpus (2)

• Motivic Milnor fibers and Jordan normal forms of Milnor monodromies
• On the sizes of the Jordan blocks of monodromies at infinity

Cited by in corpus (1)

• Bifurcation values of polynomial functions and perverse sheaves