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Thom-Sebastiani construction and monodromy of polynomials. (English) Zbl 1042.32012

Proc. Steklov Inst. Math. 238, No. 3, 97-114 (2002) and Tr. Mat. Inst. Steklova 238, 106-123 (2002).
Authors’ abstract: 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.
For the entire collection see [Zbl 1012.00018].

MSC:

32S40 Monodromy; relations with differential equations and \(D\)-modules (complex-analytic aspects)
14D06 Fibrations, degenerations in algebraic geometry