Article ID Journal Published Year Pages File Type
4666483 Advances in Mathematics 2012 17 Pages PDF
Abstract

We give a purely algebro–geometric proof that if the α-invariant of a Q-Fano variety X is greater than , then (X,OX(−KX)) is K-stable. The key of our proof is a relation among the Seshadri constants, the α-invariant and K-stability. It also gives applications concerning the automorphism group.

Related Topics
Physical Sciences and Engineering Mathematics Mathematics (General)