HOLOMORPHIC

作品数:152被引量:136H指数:6
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相关领域:理学更多>>
相关作者:卢广存方丽萍孙铁更多>>
相关机构:北京师范大学深圳大学北京理工大学更多>>
相关期刊:《Science China Mathematics》《Science Bulletin》《吉林师范大学学报(自然科学版)》《Communications in Mathematics and Statistics》更多>>
相关基金:国家自然科学基金北京市自然科学基金中国博士后科学基金广东省自然科学基金更多>>
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On equidistribution theorems for multi-sequences of holomorphic line bundles
《Science China Mathematics》2025年第2期285-298,共14页Manli Liu Weixiong Mai Guokuan Shao 
supported by National Natural Science Foundation of China(Grant No.12301095);supported by National Natural Science Foundation of China(Grant No.11901594);supported by National Natural Science Foundation of China(Grant No.12001549);Topics on Basic and Applied Basics Research of Guangzhou in 2023(Grant No.2023A04J0648);Faculty Research Grants Program of the Macao University of Science and Technology(Grant No.FRG-22-076-MCMS);the Science and Technology Development Fund,Macao Special Administrative Region(Grant Nos.0133/2022/A and 0022/2023/ITP1);the Fundamental Research Funds for the Central Universities,Sun Yat-sen University(Grant Nos.22qntd2901 and 23lgbj026)。
Given several sequences of Hermitian holomorphic line bundles{(L_(kp),h_(kp))}_(p=1)^(∞),we establish the distribution of common zeros of random holomorphic sections of Lkp with respect to singular measures.We also s...
关键词:EQUIDISTRIBUTION random holomorphic section pseudo-effective line bundle current 
Holomorphic Connections and Problems of Lifts
《Chinese Annals of Mathematics,Series B》2024年第5期677-684,共8页Arif SALIMOV Narmina GURBANOVA 
Considering the bundle of 2-jets as a realization of the holomorphic manifold over 3-dimensional nilpotent algebra,the authors introduce a new class of lifts of connections in the bundle of 2-jets which is a generaliz...
关键词:Holomorphic functions Bundle of 2-jets Deformed lift Pure connection 
Power Flow Calculation for VSC-based AC/DC Hybrid Systems Based on Fast and Flexible Holomorphic Embedding
《Journal of Modern Power Systems and Clean Energy》2024年第5期1370-1382,共13页Peichuan Tian Yexuan Jin Ning Xie Chengmin Wang Chunyi Huang 
The power flow(PF)calculation for AC/DC hybrid systems based on voltage source converter(VSC)plays a crucial role in the operational analysis of the new energy system.The fast and flexible holomorphic embedding(FFHE)P...
关键词:AC/DC power flow holomorphic embedding numerical performance voltage source converter(VSC) 
Yang-Mills bar connection and holomorphic structure
《中国科学技术大学学报》2024年第8期2-5,1,I0002,共6页Teng Huang 
supported by the National Natural Science Foundation of China(12271496);the Youth Innovation Promotion Association CAS,the Fundamental Research Funds of the Central Universities,and the USTC Research Funds of the Double First-Class Initiative.
In this note,we study the Yang-Mills bar connection,i.e.,the curvature of obeys,δ_(A)^(*)F_(A)^(0.2)on a principal G-bundle P over a compact complex manifold.According to the Koszul-Malgrange criterion,any holomorphi...
关键词:Yang-Mills bar connection holomorphic structure Kähler surface 
Geometry of holomorphic invariant strongly pseudoconvex complex Finsler metrics on the classical domains
《Science China Mathematics》2024年第8期1827-1864,共38页Xiaoshu Ge Chunping Zhong 
supported by National Natural Science Foundation of China(Grant Nos.12071386 and 11671330)。
In this paper,a class of holomorphic invariant metrics is introduced on the irreducible classical domains of typesⅠ-Ⅳ,which are strongly pseudoconvex complex Finsler metrics in the strict sense of Abate and Patrizio...
关键词:holomorphic invariant metric Kahler-Berwald metric irreducible classical domains 
One-cycles on Gushel-Mukai fourfolds and the Beauville-Voisin filtration
《Science China Mathematics》2024年第4期713-732,共20页Ruxuan Zhang 
We prove that the invariant locus of the involution associated with a general double EisenbudPopescu-Walter(EPW)sextic is a constant cycle surface and introduce a filtration on CH1of a Gushel-Mukai fourfold.We verify ...
关键词:Beauville-Voisin ltration irreducible holomorphic symplectic variety Gushel-Mukai fourfold 
COMPLETE KAHLER METRICS WITH POSITIVE HOLOMORPHIC SECTIONAL CURVATURES ON CERTAIN LINE BUNDLES(RELATED TO A COHOMOGENEITY ONE POINT OF VIEW ON A YAU CONJECTURE)被引量:1
《Acta Mathematica Scientia》2024年第1期78-102,共25页段晓曼 关庄丹 
supported by the NSFC(12171140)。
In this article,we study Kahler metrics on a certain line bundle over some compact Kahler manifolds to find complete Kahler metrics with positive holomorphic sectional(or bisectional)curvatures.Thus,we apply a strateg...
关键词:Kahler Metrics complete Riemannian metrics open complex manifolds holomorphic bisectional curvature C*bundle almost homogeneous manifolds 
A review on applications of holomorphic embedding methods
《iEnergy》2023年第4期264-274,共11页Kaiyang Huang Kai Sun 
The holomorphic embedding method(HEM)stands as a mathematical technique renowned for its favorable convergence properties when resolving algebraic systems involving complex variables.The key idea behind the HEM is to ...
关键词:Holomorphic embedding method power flow polynomial solutions nonlinear algebraic equations differential equations 
The holomorphic d-scalar curvature on almost Hermitian manifolds被引量:1
《Science China Mathematics》2023年第10期2293-2308,共16页Jianquan Ge Yi Zhou 
supported by Beijing Natural Science Foundation(Grant No.Z190003);National Natural Science Foundation of China(Grant Nos.12171037 and 12271040);the Fundamental Research Funds for the Central Universities.
In this paper,we study the existence of conformal metrics with the constant holomorphic d-scalar curvature and the prescribed holomorphic d-scalar curvature problem on closed,connected almost Hermitian manifolds of di...
关键词:holomorphic d-scalar curvature almost Hermitian manifold Yamabe problem prescribed curvature problem 
Bounds for Average toward the Resonance Barrier for GL(3)×GL(2)Automorphic Forms
《Acta Mathematica Sinica,English Series》2023年第9期1667-1683,共17页Huan Qin Yang Bo Ye 
Let f be a fixed Maass form for SL_3(Z)with Fourier coefficients A_(f)(m,n).Let g be a Maass cusp form for SL_2(G)with Laplace eigenvalue(1/4)+k^(2) and Fourier coefficientλ_(g)(n),or a holomorphic cusp form of even ...
关键词:Maass cusp form holomorphic cusp form Hypothesis S resonance barrier Kuznetsov trace formula Petersson's formula Voronoi's summation formula 
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