A result about Picard-Lefschetz monodromy

Darren Tapp

A result about Picard-Lefschetz monodromy

Algebraic Topology 2007-05-23 v1 Algebraic Geometry

Authors: Darren Tapp

Abstract

Let $f$ and $g$ be reduced homogeneous polynomials in separate sets of variables. We establish a simple formula that relates the eigenspace decomposition of the monodromy operator on the Milnor fiber cohomology of $fg$ to that of $f$ and $g$ separately. We use a relation between local systems and Milnor fiber cohomology that has been established by D. Cohen and A. Suciu.

Keywords

local-global principles

Cite

@article{arxiv.math/0608659,
  title  = {A result about Picard-Lefschetz monodromy},
  author = {Darren Tapp},
  journal= {arXiv preprint arXiv:math/0608659},
  year   = {2007}
}

Comments

7 pages, 6 small tables

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