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CUBIC: 作品数：767被引量：876H指数：11; 导出分析报告; 相关领域：理学更多>>; 相关作者：庄卓李学敏陈国维程秀秀岳猛更多>>; 相关机构：吉林大学华中农业大学郑州大学河南工业大学更多>>; 相关期刊：更多>>; 相关基金：国家自然科学基金国家重点基础研究发展计划中国博士后科学基金国家教育部博士点基金更多>>

On Affine Hypersurfaces with Parallel Cubic Form Relative to Affineα-connection: 《Acta Mathematica Sinica,English Series》2024年第4期1099-1114,共16页Ce Ce LI Cheng XING Hui Yang XU; supported by NNSF of China(Grant No.11401173);supported by NNSF of China(Grant No.12171437);supported by NNSF of China(Grant No.12101194)。; Similar to Nomizu-Pinkall's geometric characterization of the Cayley surface and Hu-Li-Zhang's characterization of the Cayley hypersurface,how can one characterize the generalized Cayley hypersurfaces?In this paper,by...; 关键词：Affine hypersurface parallel cubic form affineα-connection Einstein metric

Cohomology of Moduli Space of Cubic Fourfolds Ⅰ: 《Acta Mathematica Sinica,English Series》2023年第5期773-798,共26页Fei SI; Supported by NSFC grants for General Program (Grant No. 11771086);Key Program (Grant No. 11731004);National Key Research and Development Program of China (Grant No. 2020YFA0713200)。; In this paper we compute the cohomology of moduli space of cubic fourfolds with ADE type singularities relying on Kirwan’s blowup and Laza’s GIT construction. More precisely, we obtain the Betti numbers of Kirwan’s...; 关键词：Cubic fourfold Moduli space COHOMOLOGY

Isomorphisms of Cubic Cayley Graphs on Dihedral Groups and Sparse Circulant Matrices: 《Acta Mathematica Sinica,English Series》2023年第4期618-632,共15页Istvan KOVACS; Supported by the Slovenian Research Agency (research program P1-0285 and research projects N1-0062,J1-9108,J1-1695,N1-0140,J1-2451,N1-0208 and J1-3001)。; We show that,up to isomorphism,there is a unique non-CI connected cubic Cayley graph on the dihedral group of order 2n for each even number n≥4.This answers in the negative the question of Li whether all connected cu...; 关键词：Cayley graph graph isomorphism dihedral group circulant matrix

Scattering for 3D Cubic Focusing NLS on the Domain Outside a Convex Obstacle Revisited: 《Acta Mathematica Sinica,English Series》2022年第6期1054-1068,共15页Cheng Bin XU Teng Fei ZHAO Ji Qiang ZHENG; Supported by Beijing Natural Science Foundation 1222019,PFCAEP project(Grant No.YZJJLX201901);NSFC(Grant No.11901041,12101040);NSAF(Grant No.U1530401)。; In this article,we consider the focusing cubic nonlinear Schr?dinger equation(NLS)in the exterior domain outside of a convex obstacle in R3with Dirichlet boundary conditions.We revisit the scattering result below grou...; 关键词：Schrodinger equation exterior domain global well-posedness scattering criterion

Dirac Cohomology and Character Lifting: 《Acta Mathematica Sinica,English Series》2021年第4期525-537,共13页Jing Song HUANG; Supported by grants(Grant No.16303218)from Research Grant Council of HKSAR。; The endoscopic transfer factor is expressed as difference of characters for the even and odd parts of the spin modules,or Dirac index of the trivial representation.The lifting of tempered characters in terms of index ...; 关键词：Dirac cohomology Dirac series cubic Dirac operators endoscopic transfer character lifting

The Closed Orbits of a Class of Cubic Vector Fields in R^(3): 《Acta Mathematica Sinica,English Series》2020年第12期1429-1440,共12页Hong Yan YIN Da ZHOU Xing An ZHANG; Supported by the National Nature Science Foundation of China(Grant Nos.11871238,11971405);selfdetermined research funds of CCNU from the collegesbasic research and operation of MOE(Grant No.CCNU16JCZX10);the Natural Science Foundation of Fujian Province of China(Grant No.2015J05016);the Fundamental Research Funds of the South-Central University for Nationalities(Grant No.CZQ13016)。; In this paper,we investigate the isolated closed orbits of two types of cubic vector fields in R^3 by using the idea of central projection transformation,which sets up a bridge connecting the vector field X(x)in R^3 w...; 关键词：Closed orbit central projection transformation tangent vector field invariant cone

Arithmetic Properties for Cubic Partition Pairs Modulo Powers of 3: 《Acta Mathematica Sinica,English Series》2017年第11期1504-1512,共9页Shane CHERN; Let b（n） denote the number of cubic partition pairs of n. In this paper, we aim to provide a strategy to obtain arithmetic properties of b（n）. This gives affirmative answers to two of Lin＇s conjectures.; 关键词：Cubic partition pair CONGRUENCE

On the Chow Groups of Certain Cubic Fourfolds: 《Acta Mathematica Sinica,English Series》2017年第7期887-898,共12页Robert LATERVEER; This note is about the Chow groups of a certain family of smooth cubic fourfolds. This family is characterized by the property that each cubic fourfold X in the family has an involution such that the induced involutio...; 关键词：Algebraic cycles Chow groups motives cubic fourfolds hyperk?hler varieties K3 surfaces finite-dimensional motive

Enumeration of Cubic Cayley Graphs on Dihedral Groups被引量：2: 《Acta Mathematica Sinica,English Series》2017年第7期996-1010,共15页Xue Yi HUANG Qiong Xiang HUANG Lu LU; Supported by National Natural Science Foundation of China(Grant Nos.11671344 and 11531011); Let p be an odd prime, and D2p = （a,b I aP = b2 = l,bab= a 1） the dihedral group of order 2p. In this paper, we completely classify the cubic Cayley graphs on D2p up to isomorphism by means of spectral method. By th...; 关键词：Cayley graph dihedral group cospectral isomorphic classes quadratic reciprocity

Scattering Problem for Klein–Gordon Equation with Cubic Convolution Nonlinearity: 《Acta Mathematica Sinica,English Series》2014年第5期827-836,共10页Ru Ying XUE; Supported by Natural Science Foundation of China(Grant No.10931007);Zhejiang Provincial NaturalScience Foundation of China(Grant No.Y6090158); The scattering problem for the Klein–Gordon equation with cubic convolution nonlinearity is considered. Based on the Strichartz estimates for the inhomogeneous Klein–Gordon equation, we prove the existence of the sc...; 关键词：Asymptotic of solution Klein–Gordon equation scattering operator

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