R^n中与2n-2个球相切的直线

Frank Sottile; Thorsten Theobald

R^n中与2n-2个球相切的直线

代数几何 2007-05-23 v2

作者: Frank Sottile , Thorsten Theobald

在 arXiv 上查看 ↗ PDF ↗

摘要

我们证明,在 $R^n$ 中有 $3 \cdot 2^{n-1}$ 条复公共切线与 $2n-2$ 个一般球相切,并且存在一种球的选取使得所有公共切线均为实切线。

关键词

公共切线球实射影几何计数几何 R^n

引用

@article{arxiv.math/0105180,
  title  = {Lines Tangent to 2n-2 spheres in R^n},
  author = {Frank Sottile and Thorsten Theobald},
  journal= {arXiv preprint arXiv:math/0105180},
  year   = {2007}
}

备注

Minor revisions. Trans. AMer. Math. Soc., to appear. 15 pages, 3 .eps figures; also a web page with computer code verifying the computations in the paper and with additional pictures

R^n中与2n-2个球相切的直线

摘要

关键词

引用

备注

相关论文