COMPACT MODULI SPACES OF DEL PEZZO SURFACES AND KAHLER-EINSTEIN METRICS

被引：0

作者：

Odaka, Yuji ^{[1
]}

Spotti, Cristiano ^{[2
]}

Sun, Song ^{[3
]}

机构：

[1] Kyoto Univ, Dept Math, Kyoto 6068502, Japan

[2] Ctr Math Sci, DPMMS, Wilberforce Rd, Cambridge CB3 0WB, England

[3] SUNY Stony Brook, Dept Math, Stony Brook, NY 11794 USA

来源：

JOURNAL OF DIFFERENTIAL GEOMETRY | 2016年 / 102卷 / 01期

关键词：

COMPLEX-SURFACES; STABILITY; MANIFOLDS; GIT; CLASSIFICATION; DEGENERATIONS; CONSTRUCTION; INVARIANTS; CURVATURE; ORBIFOLDS;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We prove that the Gromov-Hausdorff compactification of the moduli space of Kahler-Einstein Del Pezzo surfaces in each degree agrees with certain algebro-geometric compactification. In particular, this recovers Tian's theorem on the existence of Kahler-Einstein metrics on smooth Del Pezzo surfaces and classifies all the degenerations of such metrics. The proof is based on a combination of both algebraic and differential geometric techniques.

引用

页码：127 / 172

页数：46

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