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On the monodromy of a function germ defined on an arrangement of hyperplanes - MaRDI portal

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On the monodromy of a function germ defined on an arrangement of hyperplanes (Q1975401)

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scientific article; zbMATH DE number 1437247
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English
On the monodromy of a function germ defined on an arrangement of hyperplanes
scientific article; zbMATH DE number 1437247

    Statements

    On the monodromy of a function germ defined on an arrangement of hyperplanes (English)
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    16 June 2002
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    The author proves a result stating that the characteristic polynomial of an algebraic monodromy can be expressed as the times of the characteristic polynomial over its fibre under some condition. By using this result, the author also obtains formulas for the \(\zeta\) function of the monodromy, the Lefschetz number and the Milnor number of a function germ defined on an arrangement of hyperplanes.
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    monodromy
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    arrangement of hyperplane
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    Milnor number
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