2010/10/01 by Cheltsov, Ivan, Kosta, Dimitra
#14J45 #32Q20 #Algebraic Geometry (math.AG) #Differential Geometry (math.DG) #FOS: Mathematics
paper · doi:10.48550/arxiv.1010.0043
We prove new local inequality for divisors on surfaces and utilize it to compute α-invariants of singular del Pezzo surfaces, which implies that del Pezzo surfaces of degree one whose singular points are of type \mathbbA1, \mathbbA2, \mathbbA3, \mathbbA4, \mathbbA5 or \mathbbA6 are Kähler-Einstein.