Kaehler-Einstein Fano threefolds of degree 22

Abstract

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 ${\mathbb{C}}^{\ast }$. We prove that, except possibly two explicitly described cases, all such smooth Fano threefolds are Kähler--Einstein.

38 pages, few typos removed

References in corpus (2)

• Kahler geometry on toric manifolds, and some other manifolds with large symmetry
• A Minimizing Valuation is Quasi-monomial

Cited by in corpus (2)

• K-stability of Fano varieties: an algebro-geometric approach
• A Note on Equivariant K-stability