An explicit construction of derived moduli stacks of Harder-Narasimhan filtrations (2202.07494v2)

Published 15 Feb 2022 in math.AG

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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Authors (1)

Yuki Mizuno

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