Macdonald integrals and monodromy

Mathematics – Algebraic Geometry

Scientific paper

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17 pages

Scientific paper

We prove several results on monodromies associated to Macdonald integrals,
that were used in our previous work on the finite field analogue of a
conjecture of Macdonald. We also give a new proof of our formula expressing
recursively the zeta function of the local monodromy at the origin of the
discriminant of a finite Coxeter group in terms of the degrees of the group.

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