论文标题
Gorenstein Fano组压缩的K稳定性与等级第二
K-stability of Gorenstein Fano group compactifications with rank two
论文作者
论文摘要
我们将半精密复合体组的Gorenstein Fano Bi-Equivariant压实分类为等级二，并确定其中哪个是等效的K-Stable和Adfor（Singular）Kähler-Einstein指标。结果，我们获得了几个明确的k-stable Fano品种承认（单数）Kähler-Einstein指标的例子。我们还计算了最大的RICCI下限，等效地是K- Unstable品种的增量不变。这为我们提供了三个新的示例，kähler-ricci流的每个解决方案均为II型。
We give a classification of Gorenstein Fano bi-equivariant compactifications of semisimple complex Lie groups with rank two, and determine which of them are equivariant K-stable and admit (singular) Kähler-Einstein metrics. As a consequence, we obtain several explicit examples of K-stable Fano varieties admitting (singular) Kähler-Einstein metrics. We also compute the greatest Ricci lower bounds, equivalently the delta invariants for K-unstable varieties. This gives us three new examples on which each solution of the Kähler-Ricci flow is of type II.
