克莱因四次方畸变中的哈塞原理反例

Pub Date : 2024-07-01 DOI:10.1016/j.indag.2023.08.007

Elisa Lorenzo García , Michaël Vullers

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引用次数: 0

摘要

在本文中，我们从近处考察了克莱因四次方捻的局部和全局点。对于局部点，我们使用了几何论证，而对于全局点，我们则大力使用了捻的模块解释。本文的主要成果是提供了克莱因四次方捻线的（猜想中无限多的）族，这些族是哈塞原理的反例。

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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Counterexamples to the Hasse Principle among the twists of the Klein quartic

In this paper we inspect from closer the local and global points of the twists of the Klein quartic. For the local ones we use geometric arguments, while for the global ones we strongly use the modular interpretation of the twists. The main result is providing families with (conjecturally infinitely many) twists of the Klein quartic that are counterexamples to the Hasse Principle.

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