arXiv Analytics

Sign in

arXiv:0812.4093 [math.DG]AbstractReferencesReviewsResources

K-stability of constant scalar curvature polarization

Toshiki Mabuchi

Published 2008-12-22, updated 2008-12-30Version 2

In this paper, we shall show that a polarized algebraic manifold is K-stable if the polarization class admits a Kaehler metric of constant scalar curvature. This generalizes the results of Chen-Tian, Donaldson and Stoppa. (Parts of the arguments are based on a forthcoming paper "A stronger concept of K-stability." )

Comments: Introduction of the version 1 is revised
Categories: math.DG, math.AG
Subjects: 53C55, 14L24
Related articles: Most relevant | Search more
arXiv:math/0606423 [math.DG] (Published 2006-06-17, updated 2006-06-30)
Test Configurations for K-Stability and Geodesic Rays
arXiv:math/0611002 [math.DG] (Published 2006-10-31)
Extremal metrics and K-stability (PhD thesis)
arXiv:1108.4603 [math.DG] (Published 2011-08-23, updated 2012-11-23)
Note on K-stability of pairs

Links

Toolbox