Full paper in PDF format:
$%G.G Gusev, Monodromy zeta-functions of deformations and Newton diagrams. Rev. Mat. Complut. 22 (2009), no. 2, 447–454.%$

Monodromy Zeta-functions of Deformations and Newton Diagrams

Gleb GUSEV

Moscow State University

Independent University of Moscow

Moscow — Russia

gusev@mccme.ru

Received: May 29, 2008
Accepted: October 7, 2008

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.

Key words: Deformations of singularities, monodromy, zeta-function, Newton diagram.
2000 Mathematics Subject Classification: 14B07, 32S30, 14D05, 58K10, 58K60.