Algebra-Geometry of Piecewise Algebraic Varieties  

作　　者：Chun Gang ZHU Ren Hong WANG 

机构地区：[1]School of Mathematical Sciences,Dalian University of Technology

出　　处：《Acta Mathematica Sinica,English Series》2012年第10期1973-1980,共8页数学学报（英文版）

基　　金：Supported by National Natural Science Foundation of China (Grant Nos. U0935004, 11071031 and 10801024);Fundamental Research Funds for the Central Universities (Grant Nos. DUT10ZD112, DUT11LK34);National Engineering Research Center of Digital Life, Guangzhou 510006, China

摘　　要：Algebraic variety is the most important subject in classical algebraic geometry. As the zero set of multivariate splines, the piecewise algebraic variety is a kind generalization of the classical algebraic variety. This paper studies the correspondence between spline ideals and piecewise algebraic varieties based on the knowledge of algebraic geometry and multivariate splines.Algebraic variety is the most important subject in classical algebraic geometry. As the zero set of multivariate splines, the piecewise algebraic variety is a kind generalization of the classical algebraic variety. This paper studies the correspondence between spline ideals and piecewise algebraic varieties based on the knowledge of algebraic geometry and multivariate splines.

关 键 词：Piecewise algebraic varieties multivariate splines PARTITIONS algebraic geometry 

分 类 号：O187.2[理学—数学]