상세정보
Export to Refworks부가기능
Birational Superrigidity and K-stability
상세 프로파일
| 자료유형 | 학위논문 |
|---|---|
| 서명/저자사항 | Birational Superrigidity and K-stability. |
| 개인저자 | Zhuang, Ziquan. |
| 단체저자명 | Princeton University. Mathematics. |
| 발행사항 | [S.l.]: Princeton University., 2019. |
| 발행사항 | Ann Arbor: ProQuest Dissertations & Theses, 2019. |
| 형태사항 | 98 p. |
| 기본자료 저록 | Dissertations Abstracts International 81-04B. Dissertation Abstract International |
| ISBN | 9781085772563 |
| 학위논문주기 | Thesis (Ph.D.)--Princeton University, 2019. |
| 일반주기 |
Source: Dissertations Abstracts International, Volume: 81-04, Section: B.
Advisor: Kollar, Janos. |
| 이용제한사항 | This item must not be sold to any third party vendors. |
| 요약 | We consider two different notions on Fano varieties: birational superrigidity, coming from the study of rationality, and K-stability, which is related to the existence of K"ahler-Einstein metrics. In the first part, we show that birationally superrigid Fano varieties are also K-stable as long as their alpha invariants are at least 쩍, partially confirming a conjecture of Odaka-Okada and Kim-Okada-Won. In the second part, we prove the folklore prediction that smooth Fano complete intersections of Fano index one are birationally superrigid and K-stable when the dimension is large. In the third part, we introduce an inductive argument to study the birational superrigidity and K-stability of singular complete intersections and in particular prove an optimal result on the birational superrigidity and K-stability of hypersurfaces of Fano index one with isolated ordinary singularities in large dimensions. Finally we provide an explicit example to show that in general birational superrigidity is not a locally closed property in families of Fano varieties, giving a negative answer to a question of Corti. |
| 일반주제명 | Mathematics. |
| 언어 | 영어 |
| 바로가기 | 
: 이 자료의 원문은 한국교육학술정보원에서 제공합니다. |
