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Trudy Matematicheskogo Instituta imeni V.A. Steklova, 2019, Volume 306, Pages 304–312
DOI: https://doi.org/10.4213/tm4008 (Mi tm4008) 		 
This article is cited in 1 scientific paper (total in 1 paper)

Roles of Plurisubharmonic Functions

Xiangyu Zhouab

a Institute of Mathematics, Academy of Mathematics and Systems Science, Chinese Academy of Sciences
b HUA Loo-Keng Key Laboratory of Mathematics, Chinese Academy of Sciences
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DOI: https://doi.org/10.4213/tm4008
Abstract: We recall the basics of multiplier ideal sheaves and formulate our recent solution of Demailly's strong openness conjecture on multiplier ideal sheaves and related results. Then we present some applications in complex geometry, including some new results related to the vanishing and finiteness theorems for analytic cohomology groups with multiplier ideal sheaves in the case of pseudo-effective line bundles over holomorphically convex manifolds, and to the generalized Siu lemma and pseudo-effectiveness of the twisted relative pluricanonical bundles and their direct images.
Funding agency Grant number
National Natural Science Foundation of China
The work was supported in part by the National Natural Science Foundation of China (NSFC).
Received: October 9, 2018
Revised: October 17, 2018
Accepted: April 22, 2019
English version:
Proceedings of the Steklov Institute of Mathematics, 2019, Volume 306, Pages 288–295
DOI: https://doi.org/10.1134/S0081543819050237
Bibliographic databases:
Document Type: Article
UDC: 517.55
Language: Russian
Citation: Xiangyu Zhou, “Roles of Plurisubharmonic Functions”, Mathematical physics and applications, Collected papers. In commemoration of the 95th anniversary of Academician Vasilii Sergeevich Vladimirov, Trudy Mat. Inst. Steklova, 306, Steklov Math. Inst. RAS, Moscow, 2019, 304–312; Proc. Steklov Inst. Math., 306 (2019), 288–295
Citation in format AMSBIB
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\bookinfo Collected papers. In commemoration of the 95th anniversary of Academician Vasilii Sergeevich Vladimirov
\serial Trudy Mat. Inst. Steklova
\yr 2019
\vol 306
\pages 304--312
\publ Steklov Math. Inst. RAS
\publaddr Moscow
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    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Труды Математического института имени В. А. Стеклова Proceedings of the Steklov Institute of Mathematics
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