Orbifolds and finite group representations

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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Main Authors: Li Chiang, Shi-Shyr Roan
Format: Article
Language:English
Published: Hindawi Limited 2001-01-01
Series:International Journal of Mathematics and Mathematical Sciences
Online Access:http://dx.doi.org/10.1155/S0161171201020154
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spelling doaj-df1c41794b124ac59e3a7e15a16efab02020-11-25T00:50:49ZengHindawi LimitedInternational 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
collection DOAJ
language English
format Article
sources DOAJ
author Li Chiang
Shi-Shyr Roan
spellingShingle Li Chiang
Shi-Shyr Roan
Orbifolds and finite group representations
International Journal of Mathematics and Mathematical Sciences
author_facet Li Chiang
Shi-Shyr Roan
author_sort Li Chiang
title Orbifolds and finite group representations
title_short 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_sort orbifolds and finite group representations
publisher Hindawi Limited
series International Journal of Mathematics and Mathematical Sciences
issn 0161-1712
1687-0425
publishDate 2001-01-01
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.
url http://dx.doi.org/10.1155/S0161171201020154
work_keys_str_mv AT lichiang orbifoldsandfinitegrouprepresentations
AT shishyrroan orbifoldsandfinitegrouprepresentations
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