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arxiv: math/0609075 · v2 · submitted 2006-09-03 · 🧮 math.AG · math.CO

On the monodromy action on Milnor fibers of graphic arrangements

classification 🧮 math.AG math.CO
keywords actionmonodromyarrangementsformulamilnoranalyzeaomotoarbitrary
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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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