A result about Picard-Lefschetz monodromy

Details A result about Picard-Lefschetz monodromy A result about Picard-Lefschetz monodromy

2006-08-26

arxiv.org/abs/math/0608659v1

Mathematics

Algebraic Topology

7 pages, 6 small tables

Scientific paper

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.

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