English

An Algorithm for Computing the Limit Points of the Quasi-component of a Regular Chain

Symbolic Computation 2013-02-20 v1

Abstract

For a regular chain RR, we propose an algorithm which computes the (non-trivial) limit points of the quasi-component of RR, that is, the set W(R)ˉW(R)\bar{W(R)} \setminus W(R). Our procedure relies on Puiseux series expansions and does not require to compute a system of generators of the saturated ideal of RR. We focus on the case where this saturated ideal has dimension one and we discuss extensions of this work in higher dimensions. We provide experimental results illustrating the benefits of our algorithms.

Keywords

Cite

@article{arxiv.1302.4688,
  title  = {An Algorithm for Computing the Limit Points of the Quasi-component of a Regular Chain},
  author = {Parisa Alvandi and Changbo Chen and Marc Moreno Maza},
  journal= {arXiv preprint arXiv:1302.4688},
  year   = {2013}
}
R2 v1 2026-06-21T23:28:51.392Z