计算亚纯函数的分支和渐近线
Computing branches and asymptotes of meromorphic functions
摘要：
本文首先总结了计算隐式或参数定义的平面代数曲线的所有广义渐近线的现有算法。从这些以前的结果，我们推导出一种方法，可以很容易地计算整个分支和所有的广义渐近线的特殊曲线定义在n维空间中的参数化，不一定是合理的。因此，对这类曲线建立了一些新的概念和方法。该方法是基于完美曲线的概念，从以前的论文中提出的概念和结果。
英文摘要：
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.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
