Motivic Milnor fibers and Jordan normal forms of Milnor monodromies

Mathematics – Algebraic Geometry

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

Scientific paper

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.

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