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中国科学院数学与系统科学研究院机构知识库
KMS Of Academy of mathematics and systems sciences, CAS
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L-2 Extensions with Singular Metrics on Kahler Manifolds
期刊论文
ACTA MATHEMATICA SCIENTIA, 2021, 卷号: 41, 期号: 6, 页码: 2021-2038
Authors:
Zhou, Xiangyu
;
Zhu, Langfeng
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View/Download:79/0
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Submit date:2022/04/02
singular metric
optimal L-2 extension theorem
strong openness of multiplier ideal sheaf
generalized Siu's lemma
weakly pseudoconvex Kahler manifold
OPTIMAL L-2 EXTENSION OF SECTIONS FROM SUBVARIETIES IN WEAKLY PSEUDOCONVEX MANIFOLDS
期刊论文
PACIFIC JOURNAL OF MATHEMATICS, 2020, 卷号: 309, 期号: 2, 页码: 475-510
Authors:
Zhou, Xiangyu
;
Zhu, Langfeng
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View/Download:93/0
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Submit date:2021/04/26
optimal L-2 extension
plurisubharmonic function
multiplier ideal sheaf
strong openness
weakly pseudoconvex manifold
Kahler manifold
Linear invariants of complex manifolds and their plurisubharmonic variations
期刊论文
JOURNAL OF FUNCTIONAL ANALYSIS, 2020, 卷号: 279, 期号: 1, 页码: 27
Authors:
Deng, Fusheng
;
Wang, Zhiwei
;
Zhang, Liyou
;
Zhou, Xiangyu
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View/Download:103/0
  |  
Submit date:2020/05/24
Linear isometry
Plurisubharmonic variation
Positivity of direct image sheaves
Teichmuller metric
Asymptotic behavior at the isolated singularities of solutions of some equations on singular manifolds with conical metrics
期刊论文
COMMUNICATIONS IN PARTIAL DIFFERENTIAL EQUATIONS, 2020, 页码: 35
Authors:
Guo, Zongming
;
Li, Jiayu
;
Wan, Fangshu
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View/Download:127/0
  |  
Submit date:2020/09/23
Semilinear elliptic equation
asymptotic behavior
conical metric
isolated singularity
Monotonicity and rigidity of the W-entropy on RCD(0, N) spaces
期刊论文
MANUSCRIPTA MATHEMATICA, 2020, 页码: 31
Authors:
Kuwada, Kazumasa
;
Li, Xiang-Dong
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View/Download:130/0
  |  
Submit date:2020/05/24
BOCHER-TYPE THEOREM ON N-DIMENSIONAL MANIFOLDS WITH CONICAL METRIC
期刊论文
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 2019, 卷号: 147, 期号: 10, 页码: 4527-4538
Authors:
Li, Jiayu
;
Wan, Fangshu
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View/Download:77/0
  |  
Submit date:2019/10/28
Laplace's equation
Bocher-type theorem
Liouville-type theorem
singular manifolds
conical metric
AN OPTIMAL L-2 EXTENSION THEOREM ON WEAKLY PSEUDOCONVEX KAHLER MANIFOLDS
期刊论文
JOURNAL OF DIFFERENTIAL GEOMETRY, 2018, 卷号: 110, 期号: 1, 页码: 135-186
Authors:
Zhou, Xiangyu
;
Zhu, Langfeng
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View/Download:98/0
  |  
Submit date:2018/10/07
Optimal L-2 extension
singular Hermitian metric
plurisubharmonic function
weakly pseudoconvex manifold
Kahler manifold
AN OPTIMAL L-2 EXTENSION THEOREM ON WEAKLY PSEUDOCONVEX KAHLER MANIFOLDS
期刊论文
JOURNAL OF DIFFERENTIAL GEOMETRY, 2018, 卷号: 110, 期号: 1, 页码: 135-186
Authors:
Zhou, Xiangyu
;
Zhu, Langfeng
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View/Download:134/0
  |  
Submit date:2018/10/07
Optimal L-2 extension
singular Hermitian metric
plurisubharmonic function
weakly pseudoconvex manifold
Kahler manifold
THE KAHLER-RICCI FLOW, RICCI-FLAT METRICS AND COLLAPSING LIMITS
期刊论文
AMERICAN JOURNAL OF MATHEMATICS, 2018, 卷号: 140, 期号: 3, 页码: 653-698
Authors:
Tosatti, Valentino
;
Weinkove, Ben
;
Yang, Xiaokui
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View/Download:109/0
  |  
Submit date:2018/07/30
Liouville theorems for self-similar solutions of heat flows
期刊论文
JOURNAL OF THE EUROPEAN MATHEMATICAL SOCIETY, 2009, 卷号: 11, 期号: 1, 页码: 207-221
Authors:
Li, Jiayu
;
Wang, Meng
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View/Download:72/0
  |  
Submit date:2018/07/30
Harmonic sphere
self-similar solution
quasi-harmonic sphere
heat flow