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On the monodromy action on Milnor fibers of graphic arrangements

Anca Daniela Macinic, Stefan Papadima

math.AGarXiv:math/0609075

Abstract

We analyze the monodromy action, over the rationals, on the first homology group of the Milnor fiber, for arbitrary subarrangements of Coxeter arrangements. We propose a combinatorial formula for the monodromy action, involving Aomoto complexes in positive characteristic. We verify the formula, in cases A, B and D.

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