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.

arXiv comment17 pages. Section 7 of the previous paper arXiv:0912.5144v11 became an independent paper

References in corpus (2)

• Combinatorial aspects of the mixed Hodge structure
• Motivic Milnor fibers over complete intersection varieties and their virtual Betti numbers

Cited by in corpus (3)

• On the sizes of the Jordan blocks of monodromies at infinity
• Monodromies at infinity of non-tame polynomials
• Monodromies at infinity of confluent A-hypergeometric functions