We calculate Chow quotients of some families of symmetric T-varieties. In complexity two we obtain new examples of Kähler–Einstein metrics by bounding the symmetric alpha invariant of their orbifold quotients. As an additional application we determine the homeomorphism class of the orbit space of the compact torus action.

中文翻译：

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对称总体排列变体的Kähler–Einstein度量

我们计算一些对称T族的Chow商。在复杂度二中，我们通过对它们的双向商的对称alpha不变进行定界，获得了Kähler-Einstein度量的新示例。作为附加应用程序，我们确定紧凑圆环动作的轨道空间的同胚性类别。