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| 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 |
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| 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) |
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| 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. |
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