有限射影空间中的弧

IF 1.3 Q1 MATHEMATICS EMS Surveys in Mathematical Sciences Pub Date : 2019-08-28 DOI:10.4171/emss/33

Simeon Ball, M. Lavrauw

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引用次数: 29

摘要

这是一篇说明性的文章，详细介绍了有限射影空间中关于大弧的结果，它试图涵盖关于弧的最相关的结果，简化和统一了已知的旧定理和最新定理的证明。本文基本上是自包含的，包括对Segre的切线引理的最一般形式的证明，以及基于此引理的素域上的MDS猜想的简短证明。

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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Arcs in finite projective spaces

This is an expository article detailing results concerning large arcs in finite projective spaces, which attempts to cover the most relevant results on arcs, simplifying and unifying proofs of known old and more recent theorems. The article is mostly self-contained and includes a proof of the most general form of Segre's lemma of tangents and a short proof of the MDS conjecture over prime fields based on this lemma.

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