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无穷远处的非典型点及实多项式分支轨迹的算法检测

代数几何 2021-07-20 v2

作者: Luis Renato G. Dias , Cezar Joiţa , Mihai Tibăr

在 arXiv 上查看 ↗ PDF ↗ DOI ↗

摘要

我们证明了二元多项式函数无穷远处拓扑的变化可局部化于有限个无穷远处的“非典型点”。我们构造了一种低复杂度的有效算法，以精确检测该多项式函数的分支值。

关键词

二元多项式无穷远处拓扑非典型点分支值算法检测

引用

@article{arxiv.2004.08099,
  title  = {Atypical points at infinity and algorithmic detection of the bifurcation locus of real polynomials},
  author = {Luis Renato G. Dias and Cezar Joiţa and Mihai Tibăr},
  journal= {arXiv preprint arXiv:2004.08099},
  year   = {2021}
}

备注

minor edits in this last version before print; to appear in Math. Z