Higher-Dimensional Algebraic Varieties

A Theorem on the Adjoint System for Higher-Dimensional Algebraic Varieties with Ample Vector Bundles;

一个高维代数簇上具有丰富向量丛的伴随系定理

As a consequence of the above result,we have that implicative semilattices form an algebraic variety.

作为一个推论给出:蕴涵半格构成一个代数簇。

,x n], P=Q the root ideal of Q and J the subset of ring assume Q∩J≠ , then the algebraic varieties of idea quotient V(Q∶J)= .

设Q是多项式环k[x1 ,x2 ,… ,xn]中的P 准素理想 ,P =Q是理想Q的根理想 ,J是k[x1 ,x2 ,… ,xn]的子集 ,若Q∩J≠ ,则Q对J的商理想Q∶J的代数簇V(Q∶J) = ;若Q∩J = ,则Q∶J的代数簇V(Q∶J) =V(Q∶J) ;若P∩J= ,则V(Q∶J) =V(Q) 。

In this paper by applying some equivalent formulas in first-order logic,this problem is transformed into one which checks whether another quasi-algebraic variety is empty.

判定拟代数簇的包含关系问题不能由计算其相应的饱和理想来确定 。

Study on Nef-Value Morphisms of Higher Dimensional Projective Varieties;

关于高维代数簇的nef-值态射的研究

Study on the Existion of the Flip of Contraction of Higher Dimensional Projective Algebraic Varieties;

对高维代数簇收缩映射翻转存在性的研究

A Theorem on the Adjoint System for Higher-Dimensional Algebraic Varieties with Ample Vector Bundles;

一个高维代数簇上具有丰富向量丛的伴随系定理

Flip of Small Contraction on Odd-dimensional Projective Variety;

奇维数代数簇上的小收缩映射翻转的存在性

On Small Contraction Maps of Projective Varieties Odd Dimensional;

关于奇数维射影代数簇的小收缩态射的研究

Structure of the Minimal Dimensional Exceptional Locus of Small Contraction over Projective Varieties of Odd Dimension;

奇维数射影代数簇的小收缩态射的极小维例外集的结构

The Generic Finiteness of the m-canonical Map for 3-folds of General Type;

一般型三维代数簇上的m-典范映射的一般有限性

Iterative Equations on High Dimensional Space and Wiener Type Banach Algebra;

高维空间上的迭代方程及Wiener型Banach代数

Two Problems Related to Dimension Theorem in Higher Algebra;

高等代数中维数定理的两个相关问题

Some Researches on Piecewise Algebraic Curves and Piecewise Algebraic Varieties;

分片代数曲线与分片代数簇的若干研究

Some Researches on Piecewise Algebraic Curves, Piecewise Algebraic Varieties, and Piecewise Semialgebraic Sets;

分片代数曲线、分片代数簇与分片半代数集的某些问题研究

Infiltration of rational thinking in advanced algebra classroom teaching process;

高等代数课堂教学中理性思维的渗透

Crcative Thinking Trained in Mathematics Teaching;

《高等代数》教学中创造性思维的培养

Research on Multi-Dimensional Data Compression Algorithm for Cluster-Based Routing in Wireless Sensor Network

WSN中基于分簇路由的多维度数据压缩算法研究

Duality of Some Properties of Mathematical Thinking in Advanced Algebra Teaching

高等代数教学中数学思维若干性质的两重性

Researches on Multivariate Spline, Multivariate Weak Spline and Piecewise Algebraic Variety;

多元样条、弱样条及分片代数簇若干问题研究

Some Researches on Approximate Implicitization and Piecewise Algebraic Varieties;

近似隐式化和分片代数簇某些问题的研究

Some Researches on Multivariate Splines and Computation of Piecewise Algebraic Varieties;

多元样条与分片代数簇计算的若干研究