Orbifolds and finite group representations
We present our recent understanding on resolutions of Gorenstein orbifolds, which involves the finite group representation theory. We concern only the quotient singularity of hypersurface type. The abelian group Ar(n) for A-type hypersurface quotient singularity of dimension n is introduced. For n=4...
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| Format: | Article |
| Language: | English |
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Wiley
2001-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/S0161171201020154 |
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| _version_ | 1832556576732348416 |
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| author | Li Chiang Shi-Shyr Roan |
| author_facet | Li Chiang Shi-Shyr Roan |
| author_sort | Li Chiang |
| collection | DOAJ |
| description | We present our recent understanding on resolutions of Gorenstein orbifolds, which involves the finite group representation theory. We concern only the quotient singularity of hypersurface type. The abelian group Ar(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 Ar(4)-singularity are obtained. The flop procedure of 4-folds is explicitly constructed through the process. |
| format | Article |
| id | doaj-art-df1c41794b124ac59e3a7e15a16efab0 |
| institution | Kabale University |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 2001-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-df1c41794b124ac59e3a7e15a16efab02025-02-03T05:44:59ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252001-01-01261164966910.1155/S0161171201020154Orbifolds and finite group representationsLi Chiang0Shi-Shyr Roan1Institute of Mathematics, Academia Sinica, Taipei, TaiwanInstitute of Mathematics, Academia Sinica, Taipei, TaiwanWe present our recent understanding on resolutions of Gorenstein orbifolds, which involves the finite group representation theory. We concern only the quotient singularity of hypersurface type. The abelian group Ar(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 Ar(4)-singularity are obtained. The flop procedure of 4-folds is explicitly constructed through the process.http://dx.doi.org/10.1155/S0161171201020154 |
| spellingShingle | Li Chiang Shi-Shyr Roan Orbifolds and finite group representations International Journal of Mathematics and Mathematical Sciences |
| title | Orbifolds and finite group representations |
| title_full | Orbifolds and finite group representations |
| title_fullStr | Orbifolds and finite group representations |
| title_full_unstemmed | Orbifolds and finite group representations |
| title_short | Orbifolds and finite group representations |
| title_sort | orbifolds and finite group representations |
| url | http://dx.doi.org/10.1155/S0161171201020154 |
| work_keys_str_mv | AT lichiang orbifoldsandfinitegrouprepresentations AT shishyrroan orbifoldsandfinitegrouprepresentations |