We study the problem of existence of Kähler--Einstein metrics on smooth Fano threefolds of Picard rank one and anticanonical degree 22 that admit a faithful action of the multiplicative group C∗. We prove that, except possibly two explicitly described cases, all such smooth Fano threefolds are Kähler--Einstein.
|Journal||Journal of Algebraic Geometry|
|Publication status||Accepted/In press - 20 Jul 2022|
- 14J45, 32Q20, 14E05