On the monodromy action on Milnor fibers of graphic arrangements

Details On the monodromy action on Milnor fibers of graphic arrangements On the monodromy action on Milnor fibers of graphic arrangements

2006-09-03

arxiv.org/abs/math/0609075v2

Topology and its Applications 156 (2009), 761-774

Mathematics

Algebraic Geometry

23 pages; updated references

Scientific paper

10.1016/j.topol.2008.09.014

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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