The weighted log canonical threshold

被引：41

作者：

Pham Hoang Hiep ^{[1
]}

机构：

[1] Hanoi Natl Univ Educ, Dept Math, Hanoi, Vietnam

来源：

COMPTES RENDUS MATHEMATIQUE | 2014年 / 352卷 / 04期

关键词：

KAHLER-EINSTEIN METRICS; CONJECTURE; VALUATIONS; EXTENSION; IDEALS;

D O I：

10.1016/j.crma.2014.02.010

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

. In this note, we show how to apply the original L-2-extension theorem of Ohsawa and Takegoshi to the standard basis of a multiplier ideal sheaf associated with a plurisubharmonic function. In this way, we are able to reprove the strong openness conjecture and to obtain an effective version of the semicontinuity theorem for weighted log canonical thresholds. (C) 2014 Academie des sciences. Published by Elsevier Masson SAS. All rights reserved.

引用

页码：283 / 288

页数：6

共 26 条

[1] [Anonymous], 1995, GRAD TEXTS MATH
[2] [Anonymous], 1993, COMPLEX ANAL GEOMETR
[3] [Anonymous], 1989, J. Amer. Math. Soc.
[4] Bayer D., 1982, THESIS HAVARD U
[5] Berndtsson B., 2013, ARXIV13055781V1
[6] RELATIONS AMONG ANALYTIC FUNCTIONS-I
BIERSTONE, E
MILMAN, PD
[J]. ANNALES DE L INSTITUT FOURIER, 1987, 37 (01) : 187 - 239
[7] Cao J., 2012, ARXIV12105692
[8] de Fernex T, 2003, MATH RES LETT, V10, P219
[9] SHOKUROV'S ACC CONJECTURE FOR LOG CANONICAL THRESHOLDS ON SMOOTH VARIETIES
de Fernex, Tommaso
Ein, Lawrence
Mustata, Mircea
[J]. DUKE MATHEMATICAL JOURNAL, 2010, 152 (01) : 93 - 114
[10] Demailly J.-P., Complex Analytic and Differential Geometry

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