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The limit of the Hermitian-Yang-Mills flow on reflexive sheaves
Li, Jiayu1,2; Zhang, Chuanjing1; Zhang, Xi1
2018-02-05
Source PublicationADVANCES IN MATHEMATICS
ISSN0001-8708
Volume325Pages:165-214
AbstractIn this paper, we study the asymptotic behavior of the Hermitian-Yang-Mills flow on a reflexive sheaf. We prove that the limiting reflexive sheaf is isomorphic to the double dual of the graded sheaf associated to the Harder-Narasimhan-Seshadri filtration, this answers a question by Bando and Siu. (C) 2017 Elsevier Inc. All rights reserved.
KeywordReflexive sheaves Harder-Narasimhan-Seshadri filtration Hermitian-Yang-Mills flow
DOI10.1016/j.aim.2017.11.029
Language英语
Funding ProjectNatural Science Foundation of China[11625106] ; Natural Science Foundation of China[11571332] ; Natural Science Foundation of China[11721101]
WOS Research AreaMathematics
WOS SubjectMathematics
WOS IDWOS:000423780100006
PublisherACADEMIC PRESS INC ELSEVIER SCIENCE
Citation statistics
Cited Times:2[WOS]   [WOS Record]     [Related Records in WOS]
Document Type期刊论文
Identifierhttp://ir.amss.ac.cn/handle/2S8OKBNM/29387
Collection数学所
Affiliation1.Univ Sci & Technol China, Sch Math Sci, Hefei 230026, Anhui, Peoples R China
2.Chinese Acad Sci, AMSS, Beijing 100080, Peoples R China
Recommended Citation
GB/T 7714
Li, Jiayu,Zhang, Chuanjing,Zhang, Xi. The limit of the Hermitian-Yang-Mills flow on reflexive sheaves[J]. ADVANCES IN MATHEMATICS,2018,325:165-214.
APA Li, Jiayu,Zhang, Chuanjing,&Zhang, Xi.(2018).The limit of the Hermitian-Yang-Mills flow on reflexive sheaves.ADVANCES IN MATHEMATICS,325,165-214.
MLA Li, Jiayu,et al."The limit of the Hermitian-Yang-Mills flow on reflexive sheaves".ADVANCES IN MATHEMATICS 325(2018):165-214.
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