ON THE MILNOR MONODROMY OF THE IRREDUCIBLE COMPLEX REFLECTION ARRANGEMENTS

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 $G$ .

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Bibliographic Details
Published inJournal of the Institute of Mathematics of Jussieu Vol. 18; no. 6; pp. 1215 - 1231
Main Author Dimca, Alexandru
Format Journal Article
LanguageEnglish
Published Cambridge, UK Cambridge University Press 01.11.2019
Cambridge University Press (CUP)
Subjects
Hyperplanes
Mathematics
Reflection
Primary 32S55
complex reflection group
32S22
Secondary 32S35
monodromy
plane curves
Milnor fiber
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Summary: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 $G$ .
ISSN:1474-7480
1475-3030
DOI:10.1017/S147474801700038X