Nonexistence for complete Kahler-Einstein metrics on some noncompact manifolds

被引：1

作者：

Gao, Peng ^{[1
]}

Yau, Shing-Tung ^{[1
]}

Zhou, Wubin ^{[2
]}

机构：

[1] Harvard Univ, Dept Math, Cambridge, MA 02138 USA

[2] Tongji Univ, Sch Math Sci, Shanghai 200092, Peoples R China

来源：

MATHEMATISCHE ANNALEN | 2017年 / 369卷 / 3-4期

基金：

中国博士后科学基金; 美国国家科学基金会;

关键词：

RICCI CURVATURE; EQUATION;

D O I：

10.1007/s00208-016-1486-y

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let M be a compact Kahler manifold and N be a subvariety with codimension greater than or equal to 2. We show that there are no complete Kahler-Einstein metrics on . As an application, let E be an exceptional divisor of M. Then cannot admit any complete Kahler-Einstein metric if blow-down of E is a complex variety with only canonical or terminal singularities. A similar result is shown for pairs.

引用

页码：1271 / 1282

页数：12

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