Stability, birational transformations and the Kahler-Einstein problem

2010/07/23 by Donaldson, Simon · 1 citation
#53C55 #Algebraic Geometry (math.AG) #Differential Geometry (math.DG) #FOS: Mathematics

paper · doi:10.48550/arxiv.1007.4220

Abstract

We define a new notion of "b-stability" for a polarised algebraic variety, adapted to the existence problem for Kahler-Einstein metrics on Fano manifolds.

Cited by

• Equivariant CM minimization for extremal manifolds

Related

• Kahler-Einstein metrics and stability
• K-stability of Fano varieties via admissible flags
• Alpha invariants and K-stability for general polarisations of Fano varieties
• Stability conditions for polarised varieties
• b-Stability and blow-ups