Multi-variable Poincar\'e series associated with Newton diagrams
Algebraic Geometry
2009-06-02 v1
Abstract
We define a multi-index filtration on the ring of germs of functions on a hypersurface singularity associated with its Newton diagram and compute the multivariable Poincar\'e series of this filtration in some cases.
Keywords
Cite
@article{arxiv.0906.0081,
title = {Multi-variable Poincar\'e series associated with Newton diagrams},
author = {Wolfgang Ebeling and Sabir M. Gusein-Zade},
journal= {arXiv preprint arXiv:0906.0081},
year = {2009}
}