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arXiv · 2202.07494

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

Yuki Mizuno
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Abstract

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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Yuki Mizuno. 2022-02-15. An explicit construction of derived moduli stacks of Harder-Narasimhan filtrations. https://arxiv.org/abs/2202.07494

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