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A result about Picard-Lefschetz monodromy

Darren Tapp
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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.

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Darren Tapp. 2006-08-26. A result about Picard-Lefschetz monodromy. https://arxiv.org/abs/math/0608659

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