On Segre's Lemma of Tangents

Q2 Mathematics

Electronic Notes in Discrete Mathematics Pub Date : 2018-07-01 DOI:10.1016/j.endm.2018.06.003

Simeon Ball , Bence Csajbók

引用次数: 0

Abstract

Segre's lemma of tangents dates back to the 1950's when he used it in the proof of his “arc is a conic” theorem. Since then it has been used as a tool to prove results about various objects including internal nuclei, Kakeya sets, sets with few odd secants and further results on arcs. Here, we survey some of these results and report on how re-formulations of Segre's lemma of tangents are leading to new results.

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论Segre的切线引理

Segre的切线引理可以追溯到20世纪50年代，当时他用它来证明他的“弧是二次曲线”定理。从那时起，它被用作证明各种物体的结果的工具，包括内部核、Kakeya集、具有少量奇割线的集以及弧的进一步结果。在这里，我们调查了其中的一些结果，并报告了Segre的切线引理的重新公式化是如何导致新的结果的。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Electronic Notes in Discrete Mathematics Mathematics-Discrete Mathematics and Combinatorics

CiteScore

1.30

自引率

0.00%

发文量

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