2016/06/27 by Fujita, Kento
#14J45 #14L24 #Algebraic Geometry (math.AG) #Differential Geometry (math.DG) #FOS: Mathematics
paper · doi:10.48550/arxiv.1606.08261
We show that any n-dimensional Fano manifold X with α(X)=n/(n+1) and n≥ 2 is K-stable, where α(X) is the alpha invariant of X introduced by Tian. In particular, any such X admits Kähler-Einstein metrics and the holomorphic automorphism group of X is finite.