论文标题

关于模量理论,堆栈和2-Yoneda的引理的说明

Notes on Moduli theory, Stacks and 2-Yoneda's Lemma

论文作者

Berktav, Kadri İlker

论文摘要

本说明是对模量理论的基本方面的调查以及一些示例。在这方面,本文档的目的之一是了解堆栈的引入如何通过使用2类堆栈来规避相应Moduli functor $ \ Mathcal {F} $的不明确性问题。为此,我们将简要重新审视2类理论的基础知识,并提出Yoneda的引理的两类版本。

This note is a survey on the basic aspects of moduli theory along with some examples. In that respect, one of the purposes of this current document is to understand how the introduction of stacks circumvents the non-representability problem of the corresponding moduli functor $\mathcal{F}$ by using the 2-category of stacks. To this end, we shall briefly revisit the basics of 2-category theory and present a 2-categorical version of Yoneda's lemma.

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