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On the Monodromy of Milnor Fibers of Hyperplane Arrangements

• Pauline Bailet,
Univ. Nice Sophia Antipolis, CNRS, LJAD, UMR 7351, 06100 Nice, France
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Abstract

We describe a general setting where the monodromy action on the first cohomology group of the Milnor fiber of a hyperplane arrangement is the identity.
 Keywords: hyperplane arrangements, Milnor fiber, monodromy, local systems
 MSC Classifications: 32S22 - Relations with arrangements of hyperplanes [See also 52C35] 32S55 - Milnor fibration; relations with knot theory [See also 57M25, 57Q45] 32S25 - Surface and hypersurface singularities [See also 14J17] 32S40 - Monodromy; relations with differential equations and $D$-modules