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ON THE MILNOR MONODROMY OF THE IRREDUCIBLE COMPLEX REFLECTION ARRANGEMENTS

Part of: Singularities

Published online by Cambridge University Press:  08 November 2017

Alexandru Dimca Open the ORCID record for Alexandru Dimca [Opens in a new window]
Alexandru Dimca*
Affiliation:
Université Côte d’Azur, CNRS, LJAD, France ([email protected])
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Abstract

Using recent results by Măcinic, Papadima and Popescu, and a refinement of an older construction of ours, we determine the monodromy action on $H^{1}(F(G),\mathbb{C})$, where $F(G)$ denotes the Milnor fiber of a hyperplane arrangement associated to an irreducible complex reflection group $G$.

Keywords

plane curvesMilnor fibermonodromycomplex reflection group

MSC classification

Primary: 32S55: Milnor fibration; relations with knot theory
Secondary: 32S35: Mixed Hodge theory of singular varieties 32S22: Relations with arrangements of hyperplanes
Type
Research Article
Information
Journal of the Institute of Mathematics of Jussieu , Volume 18 , Issue 6 , November 2019 , pp. 1215 - 1231
Copyright
© Cambridge University Press 2017 

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Footnotes

The author was partially supported by Institut Universitaire de France.

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