The limits on boundary of orbifold Kahler-Einstein metrics and Kahler-Ricci flows over quasi-projective manifolds
The limits on boundary of orbifold Kahler-Einstein metrics and Kahler-Ricci flows over quasi-projective manifolds
复制标题
拟射影流形上轨道折叠卡勒-爱因斯坦度量和卡勒-里奇流的边界限制
DOI：
10.1007/s00208-014-1080-0
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发表时间：
2015
影响因子：
1.4
通讯作者：
Shin Kikuta
中科院分区：
文献类型：
--
作者：
Milev;A.;P.E. Share;M. Naoi;R. Durrheim;Y. Yabe;H. Ogasawara;and M. Nakatani,;直井誠，森谷祐一，中谷正生，村上理;直井誠;福江翼;Shin Kikuta
本文考虑了拟射影流形上的轨道Kähler-Einstein度量序列和正规化Kähler-Ricci流，其中射影流形和的除数具有简单的法交，使得是充分的。对于足够大的r，轨道Kähler-Einstein度规或轨道归一化Kähler-Ricci流分别具有关于除数的轨道结构。本文的主要定理是：序列的边界上的极限和内部的极限分别恰好是或上的完全规范化Kähler-Ricci流。此外，我们的证明方法还得到了一个结果，即在边界上序列收敛于完全的Kähler-Einstein度规。
In this paper, we consider a sequence of orbifold Kähler–Einstein metricsand normalized Kähler–Ricci flowson a quasi-projective manifoldfor a projective manifoldand a divisorofwith simple normal crossings such thatis ample. For sufficiently largeoris the orbifold Kähler–Einstein metric or orbifold normalized Kähler–Ricci flow onequipped with the orbifold structure with respect to the divisor, respectively. The main theorem of this paper is that the limit on the boundaryor the insideof the sequenceasis exactly the complete normalized Kähler–Ricci flow onor, respectively. Moreover our method of the proof also leads to a result that on the boundarythe sequenceconverges to the complete Kähler–Einstein metric onas.