Orbifolds and Finite Group Representations

Li Chiang; Shi-shyr Roan

Orbifolds and Finite Group Representations

代数几何 2009-09-25 v3 高能物理 - 理论

作者: Li Chiang , Shi-shyr Roan

摘要

We present our recent understanding on resolutions of Gorenstein orbifolds, which involves the finite group representation theory. We shall concern only the quotient singularity of hypersurface type. The abelian group $A_r(n)$ for $A$ -type hypersurface quotient singularity of dimension $n$ is introduced. For $n=4$ , the structure of Hilbert scheme of group orbits and crepant resolutions of $A_r(4)$ -singularity are obtained. The flop procedure of 4-folds is explicitly constructed through the process.

关键词

crepant resolution conjecture representation theory abelian groups

引用

@article{arxiv.math/0007072,
  title  = {Orbifolds and Finite Group Representations},
  author = {Li Chiang and Shi-shyr Roan},
  journal= {arXiv preprint arXiv:math/0007072},
  year   = {2009}
}

备注

20 pages, Latex, 26 figures including 24 postscript; minor changes for clearer presentation, references updated, typos corrected

Orbifolds and Finite Group Representations

摘要

关键词

引用

备注

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