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EXTENSION OF COHOMOLOGY CLASSES AND HOLOMORPHIC SECTIONS DEFINED ON SUBVARIETIES 期刊论文
JOURNAL OF ALGEBRAIC GEOMETRY, 2022, 卷号: 31, 期号: 1, 页码: 137-179
作者:  Zhou, Xiangyu;  Zhu, Langfeng
收藏  |  浏览/下载:106/0  |  提交时间:2022/04/02
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
作者:  Zhou, Xiangyu;  Zhu, Langfeng
收藏  |  浏览/下载:116/0  |  提交时间: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
作者:  Zhou, Xiangyu;  Zhu, Langfeng
收藏  |  浏览/下载:128/0  |  提交时间:2021/04/26
optimal L-2 extension  plurisubharmonic function  multiplier ideal sheaf  strong openness  weakly pseudoconvex manifold  Kahler manifold  
Subadditivity of generalized Kodaira dimensions and extension theorems 期刊论文
INTERNATIONAL JOURNAL OF MATHEMATICS, 2020, 卷号: 31, 期号: 12, 页码: 36
作者:  Zhou, Xiangyu;  Zhu, Langfeng
收藏  |  浏览/下载:109/0  |  提交时间:2021/04/26
Extension theorem  L-2 estimate  multiplier ideal sheaf  Kodaira dimension  Kahler fibration  
Siu's lemma, optimal L-2 extension and applications to twisted pluricanonical sheaves 期刊论文
MATHEMATISCHE ANNALEN, 2020, 卷号: 377, 期号: 1-2, 页码: 675-722
作者:  Zhou, Xiangyu;  Zhu, Langfeng
收藏  |  浏览/下载:155/0  |  提交时间:2020/06/30
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
作者:  Zhou, Xiangyu;  Zhu, Langfeng
收藏  |  浏览/下载:121/0  |  提交时间: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
作者:  Zhou, Xiangyu;  Zhu, Langfeng
收藏  |  浏览/下载:150/0  |  提交时间:2018/10/07
Optimal L-2 extension  singular Hermitian metric  plurisubharmonic function  weakly pseudoconvex manifold  Kahler manifold  
Regularization of quasi-plurisubharmonic functions on complex manifolds 期刊论文
SCIENCE CHINA-MATHEMATICS, 2018, 卷号: 61, 期号: 7, 页码: 1163-1174
作者:  Zhou, Xiangyu;  Zhu, Langfeng
收藏  |  浏览/下载:146/0  |  提交时间:2018/07/30
regularization theorem  quasi-plurisubharmonic function  multiplier ideal sheaf  L-2 estimate  extension theorem  
A generalized Siu's lemma 期刊论文
MATHEMATICAL RESEARCH LETTERS, 2017, 卷号: 24, 期号: 6, 页码: 1897-1913
作者:  Zhou, Xiangyu;  Zhu, Langfeng
收藏  |  浏览/下载:93/0  |  提交时间:2018/07/30
On the Ohsawa-Takegoshi L-2 extension theorem and the twisted Bochner-Kodaira identity 期刊论文
COMPTES RENDUS MATHEMATIQUE, 2011, 卷号: 349, 期号: 13-14, 页码: 797-800
作者:  Guan, Qi'an;  Zhou, Xiangyu;  Zhu, Langfeng
收藏  |  浏览/下载:114/0  |  提交时间:2018/07/30