A note on the α-invariant of the Mukai-Umemura 3-fold

2007/11/27 by Simon Donaldson, S. K. Donaldson, Donaldson, S. K.
Mathematics · #Advanced Algebra and Geometry #Advanced Differential Equations and Dynamical Systems #Advanced Topics in Algebra #math.AG #math.DG

paper · pdf · doi:10.48550/arxiv.0711.4357

arxiv created 2007/11/27 · arxiv updated 2009/12/01

Abstract

We give an elementary argument to compute the α-invariant of this Fano 3-fold, which implies the existence of a Kahler-Einstein metric.

Related

• Kähler-Einstein metrics and higher alpha-invariants
• The α-Invariant on Toric Fano Manifolds
• Kähler-Einstein metrics
• Alpha invariants and coercivity of the Mabuchi functional on Fano manifolds
• Kahler-Einstein metrics and stability