Abstract
We compute global log canonical thresholds, or equivalently alpha invariants, of birationally rigid Fano three-folds embedded in weighted projective spaces as codimension two or three. As an important application, we prove that most of them are weakly exceptional, K-stable and admit Kähler-Einstien metric.
| Original language | English |
|---|---|
| Pages (from-to) | 2745-2800 |
| Number of pages | 56 |
| Journal | International Mathematics Research Notices |
| Volume | 2018 |
| Issue number | 9 |
| DOIs | |
| State | Published - 4 May 2018 |
Bibliographical note
Funding Information:This work was partially supported by Japan Society for the Promotion of Science KAKENHI [26800019 to T.O.]; and National Research Foundation [2014R1A1A2056432 to J.W.], the National Foundation in Korea and [IBS-R003-D1 to J.W.], Institute for Basic Science in Korea.
Publisher Copyright:
© The Author(s) 2017. Published by Oxford University Press. All rights reserved.