Stable vector bundles on generalized Kummer varieties

doi:10.1515/forum-2021-0249

	Stable vector bundles on generalized Kummer varieties
	Reede, Fabian 1; Zhang, Ziyu2
	2022-07-01
发表期刊	FORUM MATHEMATICUM
ISSN	0933-7741
EISSN	1435-5337
发表状态	已发表
DOI	10.1515/forum-2021-0249
摘要	For an abelian surface A, we explicitly construct two new families of stable vector bundles on the generalized Kummer variety K-n (A) for n >= 2. The first is the family of tautological bundles associated to stable bundles on A, and the second is the family of the "wrong-way" fibers of a universal family of stable bundles on the dual abelian surface (A) over cap parametrized by K-n (A) (A). Each family exhibits a smooth connected component in the moduli space of stable bundles on K-n (A) , which is holomorphic symplectic but not simply connected, contrary to the case of K3 surfaces.
关键词	Stable sheaves moduli spaces generalized Kummer varieties
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收录类别	SCI ; SCIE
语种	英语
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied ; Mathematics
WOS记录号	WOS:000783647400001
出版者	WALTER DE GRUYTER GMBH
引用统计
文献类型	期刊论文
条目标识符	https://kms.shanghaitech.edu.cn/handle/2MSLDSTB/176053
专题	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.Shanghai Tech 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. Stable vector bundles on generalized Kummer varieties[J]. FORUM MATHEMATICUM,2022.
APA	Reede, Fabian,&Zhang, Ziyu.(2022).Stable vector bundles on generalized Kummer varieties.FORUM MATHEMATICUM.
MLA	Reede, Fabian,et al."Stable vector bundles on generalized Kummer varieties".FORUM MATHEMATICUM (2022).