簇、惯性和根数

Pub Date : 2019-02-24 DOI:10.7169/facm/1973

Matthew Bisatt

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引用次数: 4

摘要

在Dokchitser-Dokchitser-Maistret-Morgan最近的一篇论文中，作者引入了与超椭圆曲线相关的聚类图的概念，他们能够从中恢复许多不变量，包括曲线的第一个等同调群上的惯性表示。本文的目的是探索这些簇图的功能，并证明超椭圆曲线的惯性表示是其簇图的函数。

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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Clusters, inertia, and root numbers

In a recent paper of Dokchitser--Dokchitser--Maistret--Morgan, the authors introduced the concept of a cluster picture associated to a hyperelliptic curve from which they are able to recover numerous invariants, including the inertia representation on the first etale cohomology group of the curve. The purpose of this paper is to explore the functionality of these cluster pictures and prove that the inertia representation of a hyperelliptic curve is a function of its cluster picture.

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