Stability of some vector bundles on Hilbert schemes of points on K3 surfaces

doi:10.1007/s00209-021-02920-6

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	Stability of some vector bundles on Hilbert schemes of points on K3 surfaces
	Reede, Fabian 1; Zhang, Ziyu2
	2022-05
发表期刊	MATHEMATISCHE ZEITSCHRIFT (IF:1.0[JCR-2023],0.9[5-Year])
ISSN	0025-5874
EISSN	1432-1823
卷号	301 期号:1
发表状态	已发表
DOI	10.1007/s00209-021-02920-6
摘要	Let X be a projective K3 surfaces. In two examples where there exists a fine moduli space M of stable vector bundles on X, isomorphic to a Hilbert scheme of points, we prove that the universal family epsilon on X x M can be understood as a complete flat family of stable vector bundles on M parametrized by X, which identifies X with a smooth connected component of some moduli space of stable sheaves on M.
关键词	Stable sheaves Moduli spaces Universal families Hilbert schemes
URL	查看原文
收录类别	SCI ; SCIE
语种	英语
WOS研究方向	Mathematics
WOS类目	Mathematics
WOS记录号	WOS:000725909700001
出版者	SPRINGER HEIDELBERG
引用统计	正在获取...
文献类型	期刊论文
条目标识符	https://kms.shanghaitech.edu.cn/handle/2MSLDSTB/135622
专题	数学科学研究所数学科学研究所_PI研究组(P)_张子宇组
通讯作者	Reede, Fabian
作者单位	1.Leibniz Univ Hannover, Inst Algebra Geometrie, Welfengarten 1, D-30167 Hannover, Germany 2.ShanghaiTech Univ, Inst Math Sci, 393 Middle Huaxia Rd, Shanghai 201210, Peoples R China
推荐引用方式 GB/T 7714	Reede, Fabian,Zhang, Ziyu. Stability of some vector bundles on Hilbert schemes of points on K3 surfaces[J]. MATHEMATISCHE ZEITSCHRIFT,2022,301(1).
APA	Reede, Fabian,&Zhang, Ziyu.(2022).Stability of some vector bundles on Hilbert schemes of points on K3 surfaces.MATHEMATISCHE ZEITSCHRIFT,301(1).
MLA	Reede, Fabian,et al."Stability of some vector bundles on Hilbert schemes of points on K3 surfaces".MATHEMATISCHE ZEITSCHRIFT 301.1(2022).