Motivic milnor fibers and jordan normal forms of milnor monodromies

Yutaka Matsui; Kiyoshi Takeuchi

doi:10.4171/PRIMS/130

Motivic milnor fibers and jordan normal forms of milnor monodromies

Yutaka Matsui, Kiyoshi Takeuchi

SCI - Mathematics

Kindai University

Research output: Contribution to journal › Article › peer-review

8 Citations (Scopus)

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 mon- odromies. The numbers of the Jordan blocks will be described by the Newton polyhedron of the polynomial.

Original language	English
Pages (from-to)	207-226
Number of pages	20
Journal	Publications of the Research Institute for Mathematical Sciences
Volume	50
Issue number	2
DOIs	https://doi.org/10.4171/PRIMS/130
Publication status	Published - 2014

Keywords

Milnor fiber
Milnor monodromy
Mixed Hodge number
Newton polyhedron

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10.4171/PRIMS/130

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title = "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 mon- odromies. The numbers of the Jordan blocks will be described by the Newton polyhedron of the polynomial.",

keywords = "Milnor fiber, Milnor monodromy, Mixed Hodge number, Newton polyhedron",

author = "Yutaka Matsui and Kiyoshi Takeuchi",

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AU - Matsui, Yutaka

AU - Takeuchi, Kiyoshi

PY - 2014

Y1 - 2014

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AB - 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 mon- odromies. The numbers of the Jordan blocks will be described by the Newton polyhedron of the polynomial.

KW - Milnor fiber

KW - Milnor monodromy

KW - Mixed Hodge number

KW - Newton polyhedron

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JO - Publications of the Research Institute for Mathematical Sciences

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Motivic milnor fibers and jordan normal forms of milnor monodromies

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