Ricci Flat Kahler Metrics with Edge Singularities

被引：57

作者：

Brendle, Simon ^{[1
]}

机构：

[1] Stanford Univ, Dept Math, Stanford, CA 94305 USA

来源：

INTERNATIONAL MATHEMATICS RESEARCH NOTICES | 2013年 / 2013卷 / 24期

基金：

美国国家科学基金会;

关键词：

D O I：

10.1093/imrn/rns228

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We construct Ricci flat Kahler metrics with cone singularities along a complex hypersurface. This construction is inspired in part by R. Mazzeo's program in the case of a negative Einstein constant, and uses the linear theory developed recently by S. Donaldson.

引用

页码：5727 / 5766

页数：40

共 16 条

[1]

[Anonymous], PREPRINT

[2]

[Anonymous], 2000, Canonical metrics in Kahler geometry

[3]

AUBIN T., 1998, SPRINGER MONOGRAPHS

[4]

Aubin T, 1976, C.R. Acad. Sci. Paris, serie A, V283, P119

[5]

Donaldson S. K., 2011, PREPRINT

[6]

GILBARG D., 2000, Elliptic Partial Differential Equations of Second Order, V2nd

[7] Schwarz lemma for Kahler cone metrics [J].

Jeffres, TD .

INTERNATIONAL MATHEMATICS RESEARCH NOTICES, 2000, 2000 (07) :371-382

[8] Uniqueness of Kahler-Einstein cone metrics [J].

Jeffries, TD .

PUBLICACIONS MATEMATIQUES, 2000, 44 (02) :437-448

[9]

MAZZEO R, 1991, COMMUN PART DIFF EQ, V16, P1615

[10]

Mazzeo R., 1999, JOURN EQ DER PART SA, P1

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