Moduli spaces of framed sheaves on compactified Kleinian singularities

Fuente: arXiv
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Main Author: Gammelgaard, Søren
Format: Preprint
Published: 2023
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author Gammelgaard, Søren
author_facet Gammelgaard, Søren
contents Consider a Kleinian singularity $ \mathbb{C}^2/Γ$, where $ Γ$ is a finite subgroup of $ SL_2(\mathbb{C}) $. In this paper, we construct moduli spaces of framed sheaves on a projective Deligne-Mumford stack compactifying the singularity, and we show that these moduli spaces are quasiprojective schemes.
format Preprint
id arxiv_https___arxiv_org_abs_2312_05960
institution arXiv
publishDate 2023
record_format arxiv
spellingShingle Moduli spaces of framed sheaves on compactified Kleinian singularities
Gammelgaard, Søren
Algebraic Geometry
14D22 (Primary) 14J17 (Secondary)
Consider a Kleinian singularity $ \mathbb{C}^2/Γ$, where $ Γ$ is a finite subgroup of $ SL_2(\mathbb{C}) $. In this paper, we construct moduli spaces of framed sheaves on a projective Deligne-Mumford stack compactifying the singularity, and we show that these moduli spaces are quasiprojective schemes.
title Moduli spaces of framed sheaves on compactified Kleinian singularities
topic Algebraic Geometry
14D22 (Primary) 14J17 (Secondary)
url https://arxiv.org/abs/2312.05960