论文标题

衍生的模量堆栈的明确结构,较硬的Narasimhan过滤

An explicit construction of derived moduli stacks of Harder-Narasimhan filtrations

论文作者

Mizuno, Yuki

论文摘要

在本文中,我们通过使用Behrend,Ciocan-Fontanine,Hwang和Rose的方法在一个代数封闭的特征性k上,在代数封闭的特征性0的代数封闭的磁场K上明确构造了较硬的纳拉西姆汉过滤的模量堆栈。此外,我们描述了k上连接的投影方案上过滤的滑轮的派生变形理论,并将我们的构造与迪纳塔尔的构造进行了比较。

In this article, we give an explicit construction of the derived moduli stack of Harder-Narasimhan filtrations on a connected projective scheme over an algebraically closed field k of characteristic 0 by using methods by Behrend, Ciocan-Fontanine, Hwang and Rose. Moreover, we describe the derived deformation theory of a filtered sheave on a connected projective scheme over k and compare our construction with a construction by Di Natale.

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