Milnor monodromies and mixed Hodge structures for non-isolated hypersurface singularities

We study the Milnor monodromies of non-isolated hypersurface singularities and show that the reduced cohomology groups of the Milnor fibers are concentrated in the middle degree for some eigenvalues of the monodromies. As an application of this result, we give an explicit formula for some parts of t...

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Bibliographic Details
Published inAdvances in mathematics (New York. 1965) Vol. 342; pp. 134 - 164
Main Author Saito, Takahiro
Format Journal Article
LanguageEnglish
Published Elsevier Inc 21.01.2019
Subjects
Milnor monodromies
Mixed Hodge structures
Motivic Milnor fibers
32S35
Mixed Hodge structures
32S55
14E18
14M25
Milnor monodromies
Motivic Milnor fibers
32C38
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Summary:We study the Milnor monodromies of non-isolated hypersurface singularities and show that the reduced cohomology groups of the Milnor fibers are concentrated in the middle degree for some eigenvalues of the monodromies. As an application of this result, we give an explicit formula for some parts of their Jordan normal forms.
ISSN:0001-8708
1090-2082
DOI:10.1016/j.aim.2018.11.003