L~2 Extension and Effectiveness of Strong Openness Property
查看参考文献25篇
|
文摘
|
In this note, we present an L~2 extension approach to the effectiveness result of strong openness property of multiplier ideal sheaves. |
|
来源
|
Acta Mathematica Sinica. English Series
,2022,38(11):1949-1964 【核心库】
|
|
DOI
|
10.1007/s10114-022-1220-5
|
|
关键词
|
Optimal L~2 extension
;
multiplier ideal sheaf
;
strong openness property
|
|
地址
|
School of Mathematical Sciences, Peking University, Beijing, 100871
|
|
语种
|
英文 |
|
文献类型
|
研究性论文 |
|
ISSN
|
1439-8516 |
|
学科
|
数学 |
|
基金
|
国家自然科学基金
|
|
文献收藏号
|
CSCD:7375197
|
参考文献 共
25
共2页
|
|
1.
Berndtsson B. Subharmonicity properties of the Bergman kernel and some other functions associated to pseudoconvex domains.
Ann. Inst. Fourier (Grenoble),2006,56(6):1633-1662
|
CSCD被引
6
次
|
|
|
|
|
2.
Berndtsson B. The openness conjecture for plurisubharmonic functions.
arXiv:1305.5781
|
CSCD被引
1
次
|
|
|
|
|
3.
Berndtsson B. A proof of the Ohsawa-Takegoshi theorem with sharp estimates.
J. Math. Soc. Japan,2016,68(4):1461-1472
|
CSCD被引
4
次
|
|
|
|
|
4.
Blocki Z. Suita conjecture and the Ohsawa-Takegoshi extension theorem.
Invent. Math,2013,193(1):149-158
|
CSCD被引
12
次
|
|
|
|
|
5.
Demailly J P. Transcendental proof of a generalized Kawamata-Viehweg vanishing theorem.
Geometrical and Algebraical Aspects in Several Complex variables (Cetraro, 1989), Sem. Conf., Vol. 8, EditEl,1991:81-94
|
CSCD被引
1
次
|
|
|
|
|
6.
Demailly J P.
Complex analytic and differential geometry
|
CSCD被引
4
次
|
|
|
|
|
7.
Demailly J P. Multiplier ideal sheaves and analytic methods in algebraic geometry.
School on Vanishing Theorems and Effective Results in Algebraic Geometry (Trieste, 2000), ICTP Lect. Notes, Vol. 6, Abdus Salam Int. Cent. Theoret. Phys,2001:1-148
|
CSCD被引
1
次
|
|
|
|
|
8.
Demailly J P.
Analytic methods in algebraic geometry,2012
|
CSCD被引
5
次
|
|
|
|
|
9.
Demailly J P. Semi-continuity of complex singularity exponents and Kahler-Einstein metrics on Fano orbifolds.
Ann. Sci. Ecole Norm. Sup. (4),2001,34(4):525-556
|
CSCD被引
15
次
|
|
|
|
|
10.
Guan Q A. A sharp effectiveness result of Demailly's strong openness conjecture.
Adv. Math,2019,348:51-80
|
CSCD被引
8
次
|
|
|
|
|
11.
Guan Q A. Strong openness conjecture and related problems for plurisubharmonic functions.
arXiv:1401.7158
|
CSCD被引
1
次
|
|
|
|
|
12.
Guan Q A. A proof of Demailly's strong openness conjecture.
Ann. of Math. (2),2015,182(2):605-616
|
CSCD被引
19
次
|
|
|
|
|
13.
Guan Q A. Effectiveness of Demailly's strong openness conjecture and related problems.
Invent. Math,2015,202(2):635-676
|
CSCD被引
13
次
|
|
|
|
|
14.
Guan Q A. A solution of an L2 extension problem with an optimal estimate and applications.
Ann. of Math. (2),2015,181(3):1139-1208
|
CSCD被引
15
次
|
|
|
|
|
15.
Hormander L.
An Introduction to Complex Analysis in Several Variables, 3rd Ed,1990
|
CSCD被引
4
次
|
|
|
|
|
16.
Jonsson M. An algebraic approach to the openness conjecture of Demailly and Kollar.
J. Inst. Math. Jussieu,2014,13(1):119-144
|
CSCD被引
6
次
|
|
|
|
|
17.
Maitani F. Variation of Bergman metrics on Riemann surfaces.
Math. Ann,2004,330(3):477-489
|
CSCD被引
2
次
|
|
|
|
|
18.
Nadel A. Multiplier ideal sheaves and Kahler-Einstein metrics of positive scalar curvature.
Ann. of Math. (2),1990,132(3):549-596
|
CSCD被引
18
次
|
|
|
|
|
19.
Ohsawa T. On the extension of L2 holomorphic functions. V. Effects of generalization.
Nagoya Math. J,2001,161:1-21
|
CSCD被引
10
次
|
|
|
|
|
20.
Ohsawa T.
Analysis of Several Complex Variables,2002
|
CSCD被引
1
次
|
|
|
|
|
了解气象卫星更多信息，请访问