Testing log K-stability by blowing up formalism

Abstract

We study logarithmic K-stability for pairs by extending the formula for Donaldson-Futaki invariants to log setting. We also provide algebro-geometric counterparts of recent results of existence of Kahler-Einstein metrics with cone singularities.

13 pages

References in corpus (5)

• Special test configurations and $K$-stability of Fano varieties
• Ricci flat Kahler metrics with edge singularities
• Remarks on logarithmic K-stability
• Note on K-stability of pairs
• Log-canonical models of singular pairs and its applications

Cited by in corpus (10)

• On the moduli of Kahler-Einstein Fano manifolds
• Conical Kahler-Einstein metric revisited
• Kahler-Einstein metrics and stability
• On K-stability of finite covers
• Kähler-Einstein metrics and volume minimization
• Scalar curvature and Futaki invariant of Kähler metrics with cone singularities along a divisor
• Alpha invariants and K-stability for general polarisations of Fano varieties
• Dynamic alpha-invariants of del Pezzo surfaces
• On log K-stability for asymptotically log Fano varieties
• Invariants of Varieties and Singularities inspired by Kahler-Einstein problems