On the scarcity of contravariant left adjunctions

It is shown that any pair of contravariant mutually left adjoint functors between varieties of algebrasC andD factors through the retractions of these categories onto the complete lattices of epimorphs of their respective initial objects, and is thus fairly degenerate. However, some interesting contravariant left adjoint functors do exist between categories of finitely generated (or otherwise restricted) algebras.This work was done while the author was partly supported by NSF contract DMS 85-02330.Presented by F. E. J. Linton.     

Vortices and Jacobian varieties

We investigate the geometry of the moduli space of N$N$ vortices on line bundles over a closed Riemann surface Σ$\Sigma$ of genus g>1$g>1$, in the little explored situation where 1≤N<g$1\le N<g$. In the regime where the area of the surface is just large enough to accommodate N$N$ vortices (which we call the dissolving limit), we describe the relation between the geometry of the moduli space and the complex geometry of the Jacobian variety of Σ$\Sigma$. For N=1$N=1$, we show that the metric on the moduli space converges to a natural Bergman metric on Σ$\Sigma$. When N>1$N>1$, the vortex metric typically degenerates as the dissolving limit is approached, the degeneration occurring precisely on the critical locus of the Abel–Jacobi map of Σ$\Sigma$ at degree N$N$. We describe consequences of this phenomenon from the point of view of multivortex dynamics.     

微分周形式与稀疏微分结式

代数周(Chow)形式和代数结式是代数几何的基本概念,同时还是消去理论的强大工具.一个自然的想法是在微分代数几何中发展相应的周形式和结式理论.但是由于微分结构的复杂性,在本文的研究工作之前,微分结式只有部分结果,而微分周形式与稀疏微分结式理论一直没有得到发展.本文的主要结果包括:第一,发展一般(generic)情形的微分相交理论,作为应用,证明一般情形的微分维数猜想.第二,初步建立微分周形式理论.对不可约微分代数簇定义微分周形式并证明其基本性质,特别地,给出微分周形式的Poisson分解公式,引入微分代数簇的主微分次数这一不变量并证明一类微分代数闭链的周簇和周坐标的存在性.作为应用,首次严格定义微分结式,证明其基本性质.第三,初步建立稀疏微分结式理论.引入Laurent微分本性系统的概念,定义稀疏微分结式,证明其基本性质,特别地,引入微分环面簇的概念,给出稀疏微分结式阶数和次数界的估计,并基于此给出计算稀疏微分结式的单指数时间算法.     

分配格和素域生成的半环簇

Let V be the variety generated by two-element distributive lattice B2 and k prime fields Fp1,...,Fpk. That is to say that V = HSP{B2, Fp1,...,Fpk}. It is proved that the variety V is finitely based. Also, the two-element distributive lattice B2 and prime fields Fp1,..., Fpk are, up to isomorphism, the only subdirectly irreducible semirings in V. Some known results are extended and enriched.     

优良草坪草在孝感地区适应性引种简报

对国内外20余种优良草坪草，在孝感市进行了为期5年的适应性研究。结果表明，结缕草类、高羊茅、野牛草和改良的狗牙根等在本地表现较好，这为孝感市园林绿化中选择适宜的草坪草种发展草坪业提供了科学的依据。     

完善信息管理系统功能必须广泛应用网络技术

针对我国现行信息管理系统的不足，提出了增强和完善应用网络技术的功能及措施。     

Features of Black English:Towards a Comprehensive Perspective

In the past,Black English was stigmatized as"bad English".People looked down upon Black English.As the development ofBlack English and the mixture with Standard English,Black English has attracted more and more attention from the world.Its status has beenimproved.Black English,as a kind of ethnic dialect,is finally accepted.People have realized that Black English is just a kind of language vari-ety with its own characters.This article mainly talks about the unique features of Black English from a comprehensive point of view.     

如何上好《中国革命史》之我见

在中国革命史教学过程中，通过师生之间建立副洽的情感关系、教学内容专题化、教学形式与手段多样化.才能提高学生的兴趣，达到最好的教学效果。     

从几次典型战例看中国女排快攻战术的重要性

<正> 洛杉矶奥运会以后,国际女子排坛中、美、日“三足鼎立”已转为中、古、苏“三强争雄”之势,尤其是古巴,对我国女排构成相当大威胁,成为我队的主要劲敌。一系列世界性大赛之后,我国女排几名主力队员相继退役。在这样新的形势下,中国女排应该采用何种对策,坚持     

On polynomial digraphs

Let Φ(x,y) be a bivariate polynomial with complex coefficients. The zeroes of Φ(x,y) are given a combinatorial structure by considering them as arcs of a directed graph G(Φ). This paper studies some relationship between the polynomial Φ(x,y) and the structure of G(Φ).