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Monodromy zeta-functions of deformations and Newton diagrams (1011.5383v1)
Published 24 Nov 2010 in math.AG
Abstract: 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.