关于塞尔默等级奇偶性局部公式的说明

arXiv - MATH - Number Theory Pub Date : 2024-09-12 DOI:arxiv-2409.08034

Adam Morgan

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引用次数: 0

摘要

在本注释中，我们为雅各布数的奇偶性猜想的某个扭曲版本提供了证据，该猜想是在 V. Dokchitser、Green、Konstantinou 和作者的先前工作中引入的。为此，我们利用阿贝尔变项的算术对偶定理来研究作用于 p 无穷塞尔默群的某些内定形的行列式。

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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A note on local formulae for the parity of Selmer ranks

In this note, we provide evidence for a certain twisted version of the parity conjecture for Jacobians, introduced in prior work of V. Dokchitser, Green, Konstantinou and the author. To do this, we use arithmetic duality theorems for abelian varieties to study the determinant of certain endomorphisms acting on p-infinity Selmer groups.

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arXiv - MATH - Number Theory

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