维罗尼斯对偶超元的分裂性：快速证明

Pub Date : 2023-12-27 DOI:10.3336/gm.58.2.12

Ulrich Dempwolff

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引用次数: 0

摘要

Satoshi Yoshiara 在 [7] 中证明了 \({\mathbb F}_2\) 上的 Veronesean 对偶超值是分裂类型的。迄今为止，还没有任何公开的证明表明在偶数特征的有限域上的 Veronesean 对偶超值是分裂类型的。在本注释中，我们将给出这一事实的快速证明。

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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Splitness of the Veronesean dual hyperovals: a quick proof

Satoshi Yoshiara shows in [7] that the Veronesean dual hyperovals over \({\mathbb F}_2\) are of split type. So far there exists no published proof that a Veronesean dual hyperoval over any finite field of even characteristic is of split type. In this note we give a quick proof of this fact.

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