On K-Stability of Reductive Varieties
微分几何
2007-05-23 v2 代数几何
摘要
G. Tian and S.K. Donaldson formulated a conjecture relating GIT stability of a polarized algebraic variety to the existence of a Kahler metric of constant scalar curvature. In [Don02] Donaldson partially confirmed it in the case of projective toric varieties. In this paper we extend Donaldson's results and computations to a new case, that of reductive varieties. The changes in the second version are cosmetic.
引用
@article{arxiv.math/0311491,
title = {On K-Stability of Reductive Varieties},
author = {Valery Alexeev and Ludmil Katzarkov},
journal= {arXiv preprint arXiv:math/0311491},
year = {2007}
}