Computing branches and asymptotes of meromorphic functions
Algebraic Geometry
2023-02-14 v1
Abstract
In this paper, we first summarize the existing algorithms for computing all the generalized asymptotes of a plane algebraic curve implicitly or parametrically defined. From these previous results, we derive a method that allows to easily compute the whole branch and all the generalized asymptotes of a special curve defined in n-dimensional space by a parametrization that is not necessarily rational. So, some new concepts and methods are established for this type of curves. The approach is based on the notion of perfect curves introduced from the concepts and results presented in previous papers.
Keywords
Cite
@article{arxiv.2302.06190,
title = {Computing branches and asymptotes of meromorphic functions},
author = {M. Fernandez de Sevilla and R. Magdalena Benedicto and S. Perez-Diaz},
journal= {arXiv preprint arXiv:2302.06190},
year = {2023}
}
Comments
31 pages. arXiv admin note: text overlap with arXiv:1307.6153