Alpha invariant and K-stability of Q-Fano varieties
Algebraic Geometry
2012-08-10 v2 Differential Geometry
Abstract
We give a purely algebro-geometric proof that if the alpha-invariant of a Q-Fano variety X is greater than dim X/(dim X+1), then (X,O(-K_X)) is K-stable. The key of our proof is a relation among the Seshadri constants, the alpha-invariant and K-stability. It also gives applications concerning the automorphism group.
Keywords
Cite
@article{arxiv.1011.6131,
title = {Alpha invariant and K-stability of Q-Fano varieties},
author = {Yuji Odaka and Yuji Sano},
journal= {arXiv preprint arXiv:1011.6131},
year = {2012}
}
Comments
Final version (published)