We compute global log canonical thresholds of certain birationally bi-rigid Fano 3-folds embedded in weighted projective spaces as complete intersections of codimension 2 and prove that they admit an orbifold Kähler–Einstein metric and are K-stable. As an application, we give examples of super-rigid affine Fano 4-folds.
Bibliographical noteFunding Information:
The first author was supported by the National Research Foundation of Korea (NRF-2020R1A2C4002510). The second author is partially supported by JSPS KAKENHI Grant Number JP18K03216. The third author was supported by the National Research Foundation of Korea (NRF-2020R1A2C1A01008018) and a KIAS Individual Grant (SP037003) via the Center for Mathematical Challenges at Korea Institute for Advanced Study.
© 2020, Springer Nature Switzerland AG.
- Delta invariant
- Log del Pezzo surface