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001000000432991
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008200131s2019 ||||||||||||||||| ||eng d
020 ▼a 9781687933300
035 ▼a (MiAaPQ)AAI22592269
040 ▼a MiAaPQ ▼c MiAaPQ ▼d 247004
0820 ▼a 510
1001 ▼a Chen, Xuemiao.
24510 ▼a Singularities of Hermitian-Yang-Mills Connections and the Harder-Narasimhan-Seshadri Filtration.
260 ▼a [S.l.]: ▼b State University of New York at Stony Brook., ▼c 2019.
260 1 ▼a Ann Arbor: ▼b ProQuest Dissertations & Theses, ▼c 2019.
300 ▼a 81 p.
500 ▼a Source: Dissertations Abstracts International, Volume: 81-05, Section: B.
500 ▼a Advisor: Sun, Song
5021 ▼a Thesis (Ph.D.)--State University of New York at Stony Brook, 2019.
506 ▼a This item must not be sold to any third party vendors.
520 ▼a In this thesis, we study the analytic tangent cones of admissible Hermitian- Yang-Mills connections at an isolated singular point. When the singularity is homogeneous, we show that the tangent cone is uniquely determined by certain canonical algebraic data. In general, by assuming the existence of certain stable algebraic tangent cone, we characterize the tangent cone connection. Furthermore, we construct some optimal algebraic tangent cone for reflexive sheaves at any singular point (not necessarily isolated), which turns out to be unique in a suitable sense.
590 ▼a School code: 0771.
650 4 ▼a Mathematics.
690 ▼a 0405
71020 ▼a State University of New York at Stony Brook. ▼b Mathematics.
7730 ▼t Dissertations Abstracts International ▼g 81-05B.
773 ▼t Dissertation Abstract International
790 ▼a 0771
791 ▼a Ph.D.
792 ▼a 2019
793 ▼a English
85640 ▼u http://www.riss.kr/pdu/ddodLink.do?id=T15493232 ▼n KERIS ▼z 이 자료의 원문은 한국교육학술정보원에서 제공합니다.
980 ▼a 202002 ▼f 2020
990 ▼a ***1008102
991 ▼a E-BOOK