关于Cheltsov和Shramov之后的22次Fano三重
On Fano threefolds of degree 22 after Cheltsov and Shramov
摘要:
已知Picard秩为1且反正则度为22的非奇异Fano三重群构成一个一维群族,该群族允许乘法群的忠实作用. Cheltsov和Shramov证明,除了两个人之外,所有人都承认Kähler-Einstein度量。在本文中,我们表明,其余的Fano三倍也承认Kähler-Einstein度量。
英文摘要:
It has been known that nonsingular Fano threefolds of Picard rank one with the anti-canonical degree 22 admitting faithful actions of the multiplicative group form a one-dimensional family. Cheltsov and Shramov showed that all but two of them admit Kähler-Einstein metrics. In this paper, we show that the remaining Fano threefolds also admit Kähler-Einstein metrics.
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