English

Monodromy zeta-functions of deformations and Newton diagrams

Algebraic Geometry 2010-11-25 v1

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.

Keywords

Cite

@article{arxiv.1011.5383,
  title  = {Monodromy zeta-functions of deformations and Newton diagrams},
  author = {Gleb G. Gusev},
  journal= {arXiv preprint arXiv:1011.5383},
  year   = {2010}
}