Seshadri constants and K-stability of Fano manifolds
Seshadri constants and K-stability of Fano manifolds
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DOI：
10.1215/00127094-2022-0026
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发表时间：
2021-01
影响因子：
2.5
通讯作者：
Hamid Abban;Ziquan Zhuang
中科院分区：
文献类型：
--
作者：
Hamid Abban;Ziquan Zhuang
我们根据 Seshadri 常数给出了充足线束的 $\delta$ 不变量的下界。作为应用，我们证明了任意大指数的无限多个 Fano 超曲面族的一致 K 稳定性，以及大多数皮卡德一号三倍光滑 Fano 超曲面族的一致 K 稳定性。
We give a lower bound of the $\delta$-invariants of ample line bundles in terms of Seshadri constants. As applications, we prove the uniform K-stability of infinitely many families of Fano hypersurfaces of arbitrarily large index, as well as the uniform K-stability of most families of smooth Fano threefolds of Picard number one.