English

Poincar\'e series for plane curve singularities and their behaviour under projections

Algebraic Geometry 2011-07-07 v1

Abstract

Our purpose is to investigate all defined Poincar\'e series associated with multi-index filtrations and value semigroups of curve singularities---not necessarily complex---with regard to the property of forgetting variables, i.e., by making variables of the series to be 1. Generalised Poincar\'e series of motivic nature will be also considered.

Keywords

Cite

@article{arxiv.1107.1173,
  title  = {Poincar\'e series for plane curve singularities and their behaviour under projections},
  author = {Julio José Moyano-Fernández},
  journal= {arXiv preprint arXiv:1107.1173},
  year   = {2011}
}