Integral Restrictions on the Monodromy

Details Integral Restrictions on the Monodromy Integral Restrictions on the Monodromy

2003-06-10

arxiv.org/abs/math/0306168v2

Mathematics

Algebraic Geometry

9 pages

Scientific paper

Given a complex analytic function with a one-dimensional critical locus at the origin, we examine the monodromy action on the integral cohomology of the Milnor fiber. We relate this monodromy to that of a generic hyperplane slice through the origin, and to that of a generic hyperplane slice near the origin. We thereby obtain number-theoretic restrictions on the monodromy and on the cohomology of the original Milnor fiber.

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