Monodromy zeta-functions of deformations and Newton diagrams

Mathematics – Algebraic Geometry

Scientific paper

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Scientific paper

For a one-parameter deformation of an analytic complex function germ of
several variables, there is defined its monodromy zeta-function. We give a
Varchenko type formula for this zeta-function if the deformation is
non-degenerate with respect to its Newton diagram.

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