A result about Picard-Lefschetz monodromy

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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.
7 pages, 6 small tables

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Algebraic Topology, Algebraic Geometry

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http://salesiana.dossiersoluciones.com/handle/123456789/115575

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0608659
 http://arxiv.org/abs/math/0608659

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arXiv