Thom--Sebastiani Construction and Monodromy of Polynomials
Trudy Matematicheskogo Instituta imeni V.A. Steklova, Monodromy in problems of algebraic geometry and differential equations, Tome 238 (2002), pp. 106-123

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In this paper, we describe the monodromy representation of a sum $f+g$ of two polynomials $f$ and $g$ in disjoint sets of variables in terms of the monodromy representations of $f$ and $g$. Complete results are obtained under the assumption that the bifurcation set of $g$ is a one-point set.
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     author = {A. Dimca and A. N\'emethi},
     title = {Thom--Sebastiani {Construction} and {Monodromy} of {Polynomials}},
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A. Dimca; A. Némethi. Thom--Sebastiani Construction and Monodromy of Polynomials. Trudy Matematicheskogo Instituta imeni V.A. Steklova, Monodromy in problems of algebraic geometry and differential equations, Tome 238 (2002), pp. 106-123. http://geodesic.mathdoc.fr/item/TM_2002_238_a6/