Generalized twisted cubics on a cubic fourfold as a moduli space of stable objects
type: Item
instance of: scholarly article
title: Generalized twisted cubics on a cubic fourfold as a moduli space of stable objects
zbMATH Open document ID: 1401.18034
author: Martí Lahoz
author: Manfred Lehn
author: Emanuele Macrì
author: Paolo Stellari
published in: Journal de Mathématiques Pures et Appliquées. Neuvième Série
publication date: 2018-05-17T00:00:00Z
full work available at URL: https://arxiv.org/abs/1609.04573
review text: The paper under review is of very high quality. The authors study the properties of twisted cubics in relation to moduli spaces and Bridgeland stability. Its main results concern a series of isomorphisms between the blowup of a twisted cubic and certain component of the moduli space (of Gieseker stable sheaves), and are clearly stated and rigorously proved. These results are also related to previous works in rational curves and Kuznetsov component of the derived category of coherent sheaves, and have the potential to be applied to problems in moduli spaces and the study of stable sheaves. The paper is also well written, providing relevant background or references when needed. The reviewer would definitely recommend this paper for researchers in this field.
reviewed by: Zihong Chen
Mathematics Subject Classification ID: 18E30
Mathematics Subject Classification ID: 14E08
Mathematics Subject Classification ID: 14H60
zbMATH DE Number: 6869648
zbMATH Keywords: generalized twisted cubic
zbMATH Keywords: moduli space
zbMATH Keywords: cubic fourfold
zbMATH Keywords: Gieseker stable sheaves
zbMATH Keywords: Bridgeland stability
describes a project that uses: SageMath
MaRDI profile type: Publication
OpenAlex ID: W2963409917
arXiv ID: 1609.04573
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DOI: 10.1016/J.MATPUR.2017.09.004
description: scientific article