Kahler-Einstein metrics on log del pezzo surfaces in weighted projective 3-spaces

被引：44

作者：

Johnson, JM ^{[1
]}

Kollár, J ^{[1
]}

机构：

[1] Princeton Univ, Dept Math, Princeton, NJ 08544 USA

来源：

ANNALES DE L INSTITUT FOURIER | 2001年 / 51卷 / 01期

关键词：

del pezzo surface; Kahler-Einstein metric;

D O I：

10.5802/aif.1815

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We determine ail anticanonically embedded quasi smooth log del Pezzo surfaces in weighted projective 3-spaces. Many of these admit a Kahler-Einstein metric and most of them do not have tigers.

引用

页码：69 / +

页数：12

共 6 条

[1] 2 2-DIMENSIONAL TERMINATIONS [J].

ALEXEEV, V .

DUKE MATHEMATICAL JOURNAL, 1993, 69 (03) :527-545

[2]

Alexeev V., 1994, Internat. J. Math, V5, P779, DOI DOI 10.1142/S0129167X94000395

[3]

Brieskorn E., 1967, INVENT MATH, V4, P336, DOI 10.1007/BF01425318

[4]

DOLGACHEV I, 1982, LECT NOTES MATH, V956, P34

[5]

Kollar J., 1995, P S PURE MATH, V62, P221

[6] MULTIPLIER IDEAL SHEAVES AND KAHLER-EINSTEIN METRICS OF POSITIVE SCALAR CURVATURE [J].

NADEL, AM .

ANNALS OF MATHEMATICS, 1990, 132 (03) :549-596

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