Log canonical thresholds of three-dimensional Fano hypersurfaces

被引：4

作者：

Cheltsov, I. A. ^{[1
]}

机构：

[1] RAS, VA Steklov Math Inst, Moscow, Russia

来源：

IZVESTIYA MATHEMATICS | 2009年 / 73卷 / 04期

基金：

英国工程与自然科学研究理事会;

关键词：

Fano variety; log canonical threshold; Tian's alpha-invariant; Kahler-Einstein metric; KAHLER-EINSTEIN METRICS; VARIETIES;

D O I：

10.1070/IM2009v073n04ABEH002464

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We study global log canonical thresholds of generic hypersurfaces in P(1, a(1), a(2), a(3), a(4)) of degree Sigma(4)(i=1) a(i) that have at most terminal singularities.

引用

页码：727 / 795

页数：69

共 13 条

[1]

Chel'tsov I, 2005, RUSS MATH SURV+, V60, P875, DOI 10.4213/rm1643

[2]

CHELTSOV I, ARXIVMATHAG0607776

[3]

CHELTSOV I, ARXIVABS07060751

[4] Elliptic structures on weighted three-dimensional Fano hypersurfaces [J].

Cheltsov, I. A. .

IZVESTIYA MATHEMATICS, 2007, 71 (04) :765-862

[5] Fano varieties with many selfmaps [J].

Cheltsov, Ivan .

ADVANCES IN MATHEMATICS, 2008, 217 (01) :97-124

[6] Weighted Fano threefold hypersurfaces [J].

Cheltsov, Ivan ;

Park, Jihun .

JOURNAL FUR DIE REINE UND ANGEWANDTE MATHEMATIK, 2006, 600 :81-116

[7]

Corti A, 2000, LOND MATH S, V281, P175

[8] Semi-continuity of complex singularity exponents and Kahler-Einstein metrics on Fano orbifolds [J].

Demailly, JP ;

Kollár, J .

ANNALES SCIENTIFIQUES DE L ECOLE NORMALE SUPERIEURE, 2001, 34 (04) :525-556

[9] Kahler-Einstein metrics on log del pezzo surfaces in weighted projective 3-spaces [J].

Johnson, JM ;

Kollár, J .

ANNALES DE L INSTITUT FOURIER, 2001, 51 (01) :69-+

[10]

Kawamata Y, 1996, HIGHER DIMENSIONAL COMPLEX VARIETIES, P241

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