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《Science China Mathematics》: 作品数：5924被引量：9661H指数：28; 导出分析报告; 主办单位：中国科学院;国家自然科学基金委员会; 最新期次：2025年4期更多>>; 发文主题：THEOREMEQUATIONALGEBRASPACETYPE更多>>; 发文领域：理学自然科学总论自动化与计算机技术天文地球更多>>; 发文基金：国家自然科学基金国家重点基础研究发展计划国家教育部博士点基金美国国家科学基金更多>>

Representations of Drinfeld doubles of Radford Hopf algebras: 《Science China Mathematics》2025年第4期761-784,共24页Hua Sun Hui-Xiang Chen; supported by National Natural Science Foundation of China(Grant Nos.12201545 and 12071412)。; In this article,we investigate the representations of the Drinfeld doubles D(Rmn(q))of the Radford Hopf algebras Rmn(q)over an algebraically closed field k,where m>1 and n>1 are integers and q∈k is a root of unity of...; 关键词：Drinfeld double Radford algebra REPRESENTATION indecomposable module Auslander-Reiten sequence

Modular framed vertex operator algebras and Z[1/2]-forms: 《Science China Mathematics》2025年第4期785-806,共22页Chongying Dong Ching Hung Lam Li Ren; supported by the Simons Foundation(Grant No.634104);Ching Hung Lam was supported by Ministry of Science and Technology(Grant No.104-2115-M-001-004-MY3);supported by National Natural Science Foundation of China(Grant No.12071314)。; We investigate modular framed vertex operator algebras over an algebraically closed field F whose characteristic is different from 2 and 7.In particular,the rationality of modular framed vertex operator algebras is es...; 关键词：framed vertex operator algebras integral forms modular vertex algebras

Classification of solutions to the critical order elliptic system with general nonlinearity: 《Science China Mathematics》2025年第4期807-838,共32页Yuxia Guo Shaolong Peng; supported by National Key R&D Program(Grant No.2023YFA1010002);National Natural Science Foundation of China(Grant Nos.12031015 and 12271283)。; Consider the following elliptic system:{(−∆)u=f(u,v),(−∆)v=g(u,v),(0.1)where f and g are continuous functions and satisfy the finite total curvature conditions.Recently,Guo and Liu(2008)derived Liouville-type results ...; 关键词：classification of solutions semilinear elliptic system method of moving spheres critical order

The inhomogeneous incompressible Hall-MHD system with only bounded density: 《Science China Mathematics》2025年第4期839-872,共34页Jin Tan Lan Zhang; supported by the Agence Nationale de la Recherche Project BORDS(Grant No.ANR-16-CE40-0027-01);the Labex MME-DII;and the CY Initiative of Excellence;Project CYNA(CY Nonlinear Analysis);supported by National Natural Science Foundation of China(Grant No.12101472)。; This paper is dedicated to the global-in-time existence and uniqueness issues of solutions for the inhomogeneous incompressible Hall-magnetohydrodynamics(MHD)system with merely bounded density.In a three-dimensional c...; 关键词：inhomogeneous Hall-MHD system discontinuous density critical regularity maximal regularity

Hörmander oscillatory integral operators:A revisit: 《Science China Mathematics》2025年第4期873-890,共18页Chuanwei Gao Zhong Gao Changxing Miao; supported by the National Key R&D Program of China(Grant No.2022YFA1005700);supported by National Natural Science Foundation of China(Grant No.12301121);supported by National Natural Science Foundation of China(Grant No.12371095)。; In this paper,we present new proofs for both the sharp Lp estimate and the decoupling theorem for the Hörmander oscillatory integral operator.The sharp Lp estimate was previously obtained by Stein(1986)and Bourgain an...; 关键词：Hormander oscillatory integral operators bilinear method decoupling inequality induction argument Broad-Narrow analysis

Stable reflexive sheaves over compact Gauduchon manifolds: 《Science China Mathematics》2025年第4期891-916,共26页Zeng Chen Chuanjing Zhang; supported by the National Key R&D Program of China(Grant No.2020YFA0713100);National Natural Science Foundation of China(Grant Nos.12371062,12141104,and11801535);the Fundamental Research Funds for the Central Universities。; In this paper,we obtain the Hermitian-Einstein metrics on stable reflexive sheaves over compact Gauduchon manifolds.; 关键词：compact Gauduchon manifold stable reflexive sheaf Hermitian-Einstein metric

Dirac-harmonic maps with the trivial index: 《Science China Mathematics》2025年第4期917-938,共22页Jürgen Jost Linlin Sun Jingyong Zhu; supported by National Natural Science Foundation of China(Grant No.12201440);the Fundamental Research Funds for the Central Universities。; For a homotopy class[u]of maps between a closed Riemannian manifold M and a general manifold N,we want to find a Dirac-harmonic map with the map component in the given homotopy class.Most known results require the ind...; 关键词：Dirac-harmonic map Q-Dirac-harmonic map flow minimal kernel EXISTENCE Kahler manifolds

The linear self-attracting diffusion driven by the weighted-fractional Brownian motionⅡ:The parameter estimation: 《Science China Mathematics》2025年第4期939-968,共30页Litan Yan Rui Guo Wenyi Pei; supported by National Natural Science Foundation of China(Grant No.11971101)。; Let B^(a,b)be a weighted-fractional Brownian motion with Hurst indices a and b such that a>-1 and 0≤b<1∧(1+a).In this paper,we consider the linear self-attracting diffusion dX_(t)^(a,b)=dB_(t)^(a,b)−θ(∫t 0(X_(t)^(...; 关键词：weighted fractional Brownian motion Malliavin calculus self-attracting diffusion least squares estimation CONSISTENCY asymptotic distribution

High-dimensional large-scale mixed-type data imputation under missing at random: 《Science China Mathematics》2025年第4期969-1000,共32页Wei Liu Guizhen Li Ling Zhou Lan Luo; supported by National Key R&D Program of China(Grant No.2022YFA1003702);National Natural Science Foundation of China(Grant Nos.11931014 and 12271441)。; Missingness in mixed-type variables is commonly encountered in a variety of areas.The requirement of complete observations necessitates data imputation when a moderate or large proportion of data is missing.However,in...; 关键词：IMPUTATION high-dimensional mixed-type data missing at random generalized factor model

《Science China Mathematics》