On the boundary behavior of Kahler-Einstein metrics on log canonical pairs

被引：5
作者：
Guenancia, Henri [1 ]
Wu, Damin [2 ]
机构：
[1] SUNY Stony Brook, Dept Math, Stony Brook, NY 11794 USA
[2] Univ Connecticut, Dept Math, 196 Auditorium Rd, Storrs, CT 06269 USA
来源：
MATHEMATISCHE ANNALEN | 2016年 / 366卷 / 1-2期
基金：
美国国家科学基金会;
关键词：
MONGE-AMPERE EQUATION; RIEMANNIAN MANIFOLDS; RICCI CURVATURE; SINGULARITIES;
D O I：
10.1007/s00208-015-1306-9
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, we study the boundary behavior of the negatively curved Kahler-Einstein metric attached to a log canonical pair (X, D) such that K-X + D is ample. In the case where X is smooth and D has simple normal crossings support (but possibly negative coefficients), we provide a very precise estimate on the potential of the KE metric near the boundary D. In the more general singular case (D being assumed effective though), we show that the KE metric has mixed cone and cusp singularities near D on the snc locus of the pair. As a corollary, we derive the behavior in codimension one of the KE metric of a stable variety.
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页码：101 / 120
页数：20
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