Moderate Degeneration of Kahler-Einstein Manifolds with Negative Ricci Curvature

被引：0
|
作者：
Takayama, Shigeharu [1 ]
机构：
[1] Univ Tokyo, Grad Sch Math Sci, Meguro Ku, 3-8-1 Komaba, Tokyo 1538914, Japan
来源：
PUBLICATIONS OF THE RESEARCH INSTITUTE FOR MATHEMATICAL SCIENCES | 2019年 / 55卷 / 04期
关键词：
Volume non-collapsing; diameter bound; log-terminal singularity; relative canonical model; degeneration; GROMOV-HAUSDORFF LIMITS; DEL PEZZO SURFACES; SPACES;
D O I：
10.4171/PRIMS/55-4-4
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We study a family of Kahler-Einstein manifolds with negative Ricci curvature over a curve with a possibly singular special fiber. We show that if the diameters of the smooth fibers are uniformly bounded, then the special fiber has log-terminal singularities at worst after a finite base change and a birational modification.
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页码：779 / 793
页数：15
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