Kähler-Einstein metrics on Fano manifolds. II: Limits with cone angle less than 2
Kähler-Einstein metrics on Fano manifolds. II: Limits with cone angle less than 2
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DOI：
10.1090/s0894-0347-2014-00800-6
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发表时间：
2012-12
影响因子：
3.9
通讯作者：
Xiuxiong Chen;S. Donaldson;Song Sun
中科院分区：
文献类型：
--
作者：
Xiuxiong Chen;S. Donaldson;Song Sun
这是一系列三篇论文中的第二篇，这些论文为arXiv：1210.7494中宣布的结果提供了证明。本文研究了极限锥角小于2 π的锥奇点度量的Gromov-Hausdorff极限.我们表明，这些是在一个自然的方式投射代数簇。在极限簇和极限因子光滑的情况下，我们证明了极限度量也具有标准锥奇点。
This is the second of a series of three papers which provide proofs of results announced in arXiv:1210.7494. In this paper we consider the Gromov-Hausdorff limits of metrics with cone singularities in the case when the limiting cone angle is less than 2\pi. We show that these are in a natrual way projective algebraic varieties. In the case when the limiting variety and the limiting divisor are smooth we show that the limiting metric also has standard cone singularities.