Motivic Milnor fibers and Jordan normal forms of Milnor monodromies

Abstract

By calculating the equivariant mixed Hodge numbers of motivic Milnor fibers introduced by Denef-Loeser, we obtain explicit formulas for the Jordan normal forms of Milnor monodromies. The numbers of the Jordan blocks will be described by the Newton polyhedron of the polynomial.

17 pages. Section 7 of the previous paper arXiv:0912.5144v11 became an independent paper

References in corpus (1)

• Combinatorial aspects of the mixed Hodge structure

Cited by in corpus (1)

• On the sizes of the Jordan blocks of monodromies at infinity