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Singularities of Hermitian-Yang-Mills Connections and the Harder-Narasimhan-Seshadri Filtration
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| 자료유형 | 학위논문 |
|---|---|
| 서명/저자사항 | Singularities of Hermitian-Yang-Mills Connections and the Harder-Narasimhan-Seshadri Filtration. |
| 개인저자 | Chen, Xuemiao. |
| 단체저자명 | State University of New York at Stony Brook. Mathematics. |
| 발행사항 | [S.l.]: State University of New York at Stony Brook., 2019. |
| 발행사항 | Ann Arbor: ProQuest Dissertations & Theses, 2019. |
| 형태사항 | 81 p. |
| 기본자료 저록 | Dissertations Abstracts International 81-05B. Dissertation Abstract International |
| ISBN | 9781687933300 |
| 학위논문주기 | Thesis (Ph.D.)--State University of New York at Stony Brook, 2019. |
| 일반주기 |
Source: Dissertations Abstracts International, Volume: 81-05, Section: B.
Advisor: Sun, Song |
| 이용제한사항 | This item must not be sold to any third party vendors. |
| 요약 | 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. |
| 일반주제명 | Mathematics. |
| 언어 | 영어 |
| 바로가기 | 
: 이 자료의 원문은 한국교육학술정보원에서 제공합니다. |
