论文标题

在功能领域的数字理论中的奇异性和消失的周期

Singularities and vanishing cycles in number theory over function fields

论文作者

Sawin, Will

论文摘要

本文是数字理论在功能字段中消失的周期方法的概述。我们首先在玩具示例中详细解释了这是如何详细工作的,然后给出了与当前研究相关的三个示例。重点将是对可以应用哪些问题的总体解释。

This article is an overview of the vanishing cycles method in number theory over function fields. We first explain how this works in detail in a toy example, and then give three examples which are relevant to current research. The focus will be a general explanation of which sorts of problems this method can be applied to.

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