%0 Journal Article
%T Some New Properties of Algebraic Curves and Hypersurfaces in Projective Space<br>射影空间中代数曲线与超曲面的一些新的性质
%A LUO Zhongxuan
%A LIU Yu
%A <br>罗钟铉
%A 刘宇
%J 系统科学与数学
%D 2009
%I 
%X A new invariant of algebraic curves, i.e. characteristic number is found, and the new higher degree generalizations of Pascal's theorem in the form of quite different from Chasles theorem and Cayley-Bacharach theorem are obtained. Based on these results, some properties of algebraic curves are investigated, and the relationship between Pascal hypersurfaces of degree $m$ and of degree m-1 is given.
%K Algebraic curve
%K hypersurface
%K characteristic ratio
%K characteristic mapping
%K characteristic number
%K Pascal space<br>代数曲线
%K 超曲面
%K 特征比
%K 特征映射
%K 特征数
%K Pascal空间
%U http://www.alljournals.cn/get_abstract_url.aspx?pcid=6E709DC38FA1D09A4B578DD0906875B5B44D4D294832BB8E&cid=37F46C35E03B4B86&jid=0CD45CC5E994895A7F41A783D4235EC2&aid=8C770F73110012856898570DFB90CD23&yid=DE12191FBD62783C&vid=771469D9D58C34FF&iid=CA4FD0336C81A37A&sid=8E6AB9C3EBAAE921&eid=95D537AC89B28832&journal_id=1000-0577&journal_name=系统科学与数学&referenced_num=0&reference_num=10