文章摘要
CPn(A)的加权blowup及陈-阮上同调环
The blowup of the weighted projective space and its Chen-Ruan cohomology ring
  
DOI:
中文关键词: 加权射影空  加权blowup  陈-阮上同调
英文关键词: weighted projective space  weighted blowup  Chen-Ruan cohomology
基金项目:国家自然科学基金资助项目(11201087;11226034)
作者单位
林奕武 广东金融学院 应用数学系广东 广州 510275 
摘要点击次数: 3019
全文下载次数: 1216
中文摘要:
      orbifold是带有奇点结构的的广义流形,其具有整体的拓扑结构和局部的奇性结构.以加权射影空间CPn(A)为例子,利用代数几何的方法,对orbifold的奇点进行加权blowup.分析blowup之后其所有奇点集,即sector的变化.利用abelian orbifold的de Rham模型,计算所有sector的奇异上同调.根据阶转移数的变化,计算新的orbifold即Bl(CPn(A))陈-阮上同调.最后通过对比得到blowup前后陈-阮上同调的关系.
英文摘要:
      Orbifold is a generalized manifold, which is a topological space with of singular points. The weighted projective space CPn(A) was blown up at a singular point, using the method of algebraic geometry. and the change of all twisted sectors and degree was studied shifting numbers after blowing up. The Chen-Ruan cohomology ring of the blowup was calculated and then the difference was showed from the Chen-Ruan cohomology ring of to the one of CPn(A)its blowup.
查看全文   查看/发表评论  下载PDF阅读器
关闭