English

Integral Restrictions on the Monodromy

Algebraic Geometry 2007-05-23 v2

Abstract

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.

Keywords

Cite

@article{arxiv.math/0306168,
  title  = {Integral Restrictions on the Monodromy},
  author = {David B. Massey},
  journal= {arXiv preprint arXiv:math/0306168},
  year   = {2007}
}

Comments

9 pages