JournalsprimsVol. 50, No. 2pp. 207–226

Motivic Milnor Fibers and Jordan Normal Forms of Milnor Monodromies

  • Yutaka Matsui

    Kinki University, Osaka, Japan

  • Kiyoshi Takeuchi

    University of Tsukuba, Tsukuba, Ibaraki, Japan
Motivic Milnor Fibers and Jordan Normal Forms of Milnor Monodromies cover
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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.

Cite this article

Yutaka Matsui, Kiyoshi Takeuchi, Motivic Milnor Fibers and Jordan Normal Forms of Milnor Monodromies. Publ. Res. Inst. Math. Sci. 50 (2014), no. 2, pp. 207–226

DOI 10.4171/PRIMS/130