Monodromies at infinity of non-tame polynomials

Kiyoshi Takeuchi; Mihai Tibar

Monodromies at infinity of non-tame polynomials

Algebraic Geometry 2016-11-28 v2 Complex Variables

Authors: Kiyoshi Takeuchi , Mihai Tibar

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.

Keywords

monodromy at infinity non-tame polynomials bifurcation points Newton polyhedra motivic Milnor fibers Jordan blocks non-isolated singularities

Cite

@article{arxiv.1208.4584,
  title  = {Monodromies at infinity of non-tame polynomials},
  author = {Kiyoshi Takeuchi and Mihai Tibar},
  journal= {arXiv preprint arXiv:1208.4584},
  year   = {2016}
}

Comments

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

Monodromies at infinity of non-tame polynomials

Abstract

Keywords

Cite

Comments

Related papers