论文标题
通过可允许的旗帜的Fano品种的K稳定性
K-stability of Fano varieties via admissible flags
论文作者
论文摘要
我们开发了一种证明Fano品种的K稳定性的一般方法。新理论用于（a）证明在所有流畅的Fano索引索引两方面存在Kähler-Einstein指标，（b）计算广义eckardt点上的超孔的稳定性阈值，以及在所有点上的立方表面，以及（c）为tian的其他应用程序提供了新的Algebraic Crieldions ktian sctian crition cortian crition cortian crition sertian srivion sertian srivion。
We develop a general approach to prove K-stability of Fano varieties. The new theory is used to (a) prove the existence of Kähler-Einstein metrics on all smooth Fano hypersurfaces of Fano index two, (b) to compute the stability thresholds for hypersurfaces at generalized Eckardt points and for cubic surfaces at all points, and (c) to provide a new algebraic proof of Tian's criterion for K-stability, amongst other applications.
