关于正特征下的相异交比

Misha Rudnev

关于正特征下的相异交比

组合数学 2016-01-11 v6

作者: Misha Rudnev

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摘要

我们证明，在特征为 $p$ 的域 $F$ 上的射影直线 $FP^1$ 中，只要 $|A|<\sqrt{p}$ ，其有限子集 $A$ 就能确定 $\Omega(|A|^2)$ 个相异交比。

关键词

交比正特征射影直线有限域

引用

@article{arxiv.1508.05142,
  title  = {On distinct cross-ratios in positive characteristic},
  author = {Misha Rudnev},
  journal= {arXiv preprint arXiv:1508.05142},
  year   = {2016}
}

备注

This article had been earlier withdrawn by the author: the main proposition was false as stated. This update is to point out that the bound $\Omega(|A|^{3/2})$ for the number of distinct cross-ratios, and other incidence estimates have been proven in the preprint "Growth Estimates in Positive Characteristic via Collisions", with E. Aksoy, B. Murphy and I. Shkredov, arXiv:1512.06613

关于正特征下的相异交比

摘要

关键词

引用

备注

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