Product theorem for K-stability

Abstract

We prove a product formula for $\delta$-invariant and as an application, we show that product of K-(semi, poly)stable Fano varieties is also K-(semi, poly)stable.

15 pages. Final version

References in corpus (4)

• Algebraicity of the Metric Tangent Cones and Equivariant K-stability
• The uniform version of Yau-Tian-Donaldson conjecture for singular Fano varieties
• K-stability of smooth del Pezzo surfaces
• Deformations of canonical pairs and Fano varieties

Cited by in corpus (2)

• K-stability of Fano varieties: an algebro-geometric approach
• Delta invariants of projective bundles and projective cones of Fano type