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On the Cayley-Bacharach property and the construction of vector bundles

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Science China mathematics 2011年第9期54卷 1891-1898页

作者： SUN Hao 1,2 1 department of mathematics and Statistics,Huazhong Normal university,Wuhan 430079,China 2.department of mathematics,East China Normal university,Shanghai 200241,China 1. department of mathematics and Statistics Huazhong Normal University Wuhan 430079 China2. Department of Mathematics East China Normal University Shanghai 200241 China

We study the Cayley-Bacharach property on complex projective smooth varieties of dimension n≥2 for zero dimensional subscheme defined by the zero set of the wedge of r-n + 1 global sections of a rank r≥n vector bund... 详细信息

关键词： Cayley-Bacharach property vector bundle reflexive sheaf k-very ample

Almost simple groups with socle ^3D_4(q)act on finite linear spaces

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Science China mathematics 2006年第12期49卷 1768-1776页

作者： LIU Weijun, DAI Shaojun & GONG Luozhong School of mathematics, central South university, Changsha 410075, China department of mathematics, Hunan university of Science and Engineering, Yongzhou 425006, China 1. School of mathematics Central South University Changsha 410075 China 2. department of mathematics Hunan University of Science and Engineering Yongzhou 425006 China

After the classification of flag-transitive linear spaces,attention has now turned to line-transitive linear *** spaces are first divided into the point-imprimitive and the point-primitive,the first class is usually easy by the theorem of Delandtsheer and *** primitive ones are now subdivided,according to the O'Nan-Scotte theorem and some further work by Camina,into the socles which are an elementary abelian or non-abelian *** this paper,we consider the ***,T ≤ G ≤ Aut(T) and G acts line-transitively on finite linear spaces,where T is a non-abelian *** obtain some useful *** particular,we prove that when T is isomorphic to 3D4(q),then T is line-transitive,where q is a power of the prime p.

关键词： line-transitive,linear space,automorphism,almost simple group.

On the Birch-Swinnerton-Dyer Conjecture of Elliptic Curves E_D:y^2=x^3-D^2x

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Acta Mathematica Sinica,English Series 2000年第2期16卷 229-236页

作者： Delang Li department of mathematics,Sichuan Union university,Chengdu 610064,P.R.China Ye Tian department of mathematics,Columbia university,New York,NY 10027,usa department of mathematics Sichuan Union University Chengdu 610064 P. R. China department of mathematics Columbia University New York NY 10027 USA

We prove in this paper that the BSD conjecture holds for a certain kind of elliptic curves.

关键词： Elliptic curve BSD conjecture Graph 2-component

Enhanced photoluminescence of a microporous quantum dot color conversion layer by inkjet printing

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Nano Research 2024年第8期17卷 7717-7725页

作者： Junchi Chen Qihao Jin Yidenekachew.J.Donie orlando.T.Perales Dmitry Busko Bryce.S.Richards Uli Lemmer Light Technology Institute(LTI) Karlsruhe Institute of Technology(KIT)Engesserstrasse 1376131 KarlsruheGermany department of Chemical Engineering and Materials Science University of Minnesota(UMN)421 Washington Ave.SEMinneapolisMN 55455-0132USA Institute for Microstructure Technology Karlsruhe Institute of Technology(KIT)Hermann-von-Helmholtz-Platz 176344 Eggenstein-LeopoldshafenGermany

Owing to their high color purity,tunable bandgap,and high efficiency,quantum dots(QDs)have gained significant attention as color conversion materials for high-end display ***,inkjet-printed QD pixels show great potential for realizing full-color mini/micro-light emitting diode(micro-LED)-based *** a color conversion layer,the photoluminescence intensity of QDs is limited by the insufficient absorptance of the excitation light due to the lack of *** scatterers,such as titanium dioxide microparticles,have been applied after additional surface engineering for sufficient dispersity to prevent nozzle clogging in inkjet printing *** our work,as an alternative approach,we use inkjet printing for depositing a phase separating polymer ink based on polystyrene(PS)and polyethylene glycol(PEG).QD/polymer composite pixels with scattering micropores are *** morphology of the micropores can be tailored by the weight ratio between PS and PEG which enables the manipulation of scattering *** the presence of the microporous structure,the photoluminescence intensity of the QD film is enhanced by 110%in drop-cast films and by 35.3%in inkjet-printed QD pixel arrays compared to the reference samples.

关键词： porous structure inkjet printing phase separation quantum dots display technology

L^p-Boundedness of Marcinkiewicz Integrals with Hardy Space Function Kernels

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Acta Mathematica Sinica,English Series 2000年第4期16卷 593-600页

作者： Yong Ding department of mathematics, Beijing Normal university, Beijing 100875, P. R. China Dashan Fan department of mathematics, Anhui university and university of Wisconsin-Milwaukee. MW 53201 usa Yibiao Pan department of mathematics, university of Pittsburgh. Pittsburgh. Pennsylvania 15260. usa department of mathematics Beijing Normal University Beijing 100875 P. R. China department of mathematics Anhui University and University of Wisconsin-Milwaukee Wisconsin MW 53201 USA department of mathematics University of Pittsburgh Pittsburgh USA

We give the Lp-boundedness for a class of Marcinkiewicz integral operators μΩ, μΩ.λ and μΩ.S related to the Littlewood-Paley g-function, gλ-function and the area integral S, respectively. These operators have the kernel functions Ω∈H1(Sn-1), the Hardy space on Sn-1. The results in this paper substantially improve and extend the known results.

关键词： Marcinkiewicz integral g-function g_λ~*-function Area integral H^1 space Rough kernel

CMC surfaces in the hyperbolic 3-space

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Chinese Science Bulletin 1998年第7期43卷 547-550页

作者： YU Zuhuan 1, 2 and LI Zhenqi 1, 3 1. Institute of mathematics, Fudan university, Shanghai 200433, China 2. department of mathematics,Sichuan Union university, Chengdu 610064, China 3. department of mathematics, Nanchang university, Nanchang 33 nstitute of Mathemalics Fudan University Shanghai China department of mathematics Sichuan Union University Chengdu China department of mathematics Nanchang University Nanchang China

CMC-H surfaces satisfying H≥1 are studied. It is proved that these surfaces possess a natural representation which is a generalization of the Bryant’s result.

关键词： hyperbolic space CMC surface Weierstrass representation.

Smoothness for the collision local times of bifractional Brownian motions

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Science China mathematics 2011年第9期54卷 1859-1873页

作者： SHEN GuangJun 1,2,& YAN LiTan 3 1 department of mathematics,East China university of Science and Technology,Shanghai 200237,China 2.department of mathematics,Anhui Normal university,Wuhu 241000,China 3 department of mathematics,Donghua university,Shanghai 201620,China 1. department of mathematics East China University of Science and Technology Shanghai 200237 China2. Department of Mathematics Anhui Normal University Wuhu 241000 China3. Department of Mathematics Donghua University Shanghai 201620 China

Let B^Hi,Ki ={ Bt^Hi,Ki, t ≥ 0}, i= 1, 2 be two independent bifractional Brownian motions with respective indices Hi ∈ （0, 1） and K∈ E （0, 1]. One of the main motivations of this paper is to investigate f0^Tδ（Bs^H1 ,K1 - the smoothness of the collision local time, introduced by Jiang and Wang in 2009, IT = f0^T δ（Bs^H1,K1）ds, T 〉 0, where 6 denotes the Dirac delta function. By an elementary method, we show that iT is smooth in the sense of the Meyer-Watanabe if and only if min{H-1K1, H2K2} 〈-1/3.

关键词： bifractional Brownian motion collision local time intersection local time chaos expansion

Preparation of insoluble β-CD polymer and its application to enantiomers and isomers separation

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Journal of central South university of Technology 2001年第1期8卷 57-59页

作者： YI Jian ming 1,TANG Kuo wen 2 (1.College of Chemistry and Chemical Engineering, central South university, Changsha 410083, China 2.department of Chemical Engineering, Yueyang Normal university, Yueyang 414000, China) 1. College of Chemistry and Chemical Engineering Central South University 410083 Changsha China 2. department of Chemical Engineering Yueyang Normal University 414000 Yueyang China

An insoluble β-cyclodextrin polymer cross-linked with epichlorohydrin was prepared, and its structure was identified with infrared spectrum. Colloid stationary phase was prepared by dissolving the polymer in the mixed solvent of diisopropyl ether, methylene dichloride and benzene and treated for 0.5 h by ultrasonication, and then was coated on a fused silica capillary column. The optimun reaction conditions are as follows: the mole ratio of epichlohydrin to β-cyclodextrin is 12.1:1, reacting at 65 °C for 24 h. The Chromatographic performance such as column efficiency, thermal stabilities and polarity were studied, two kinds of disubstituted benzene isomers and eight pairs of enantiomers were separated on the capillary column. The results show that the β-cyclodextrin polymer is suitable for use as a capillary gas chromatographic stationary phase, and possess excellent chromatographic properties in separating enantiomers and position isomers.

关键词： insoluble β cyclodextrin polymer capillary gas chromatography enantiomer position isomer separation

INTERIOR ERROR ESTIMATES FOR NONCONFORMINGFINITE ELEMENT METHODS OF THE STOKES EQUATIONS

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Journal of Computational mathematics 1999年第5期17卷 475-494页

作者： Xiao-bo Liu(department of mathematics and Computer Science Clarkson university Box 5815, Potsdam,NY 13699-5815, usa) Clarkson Univ Dept Math & Comp Sci Potsdam NY 13699 USA

Interior error estimates are derived for nonconforming stable mixed finite element discretizations of the stationary Stokes equations. As an application, interiorconvergences of difference quotients of the finite element solution are obtained forthe derivatives of the exact solution when the mesh satisfies some translation invariant condition. For the linear element, it is proved that the average of thegradients of the finite element solution at the midpoint of two interior adjacenttriangles approximates the gradient of the exact solution quadratically.

关键词： Interior error estimates Nonconforming element Stokes equations.