An explicit construction of derived moduli stacks of Harder-Narasimhan filtrations
Algebraic Geometry
2023-10-04 v2
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.
Keywords
Cite
@article{arxiv.2202.07494,
title = {An explicit construction of derived moduli stacks of Harder-Narasimhan filtrations},
author = {Yuki Mizuno},
journal= {arXiv preprint arXiv:2202.07494},
year = {2023}
}
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23 pages