Orbifolds and finite group representations

Li Chiang and Shi-Shyr Roan

International Journal of Mathematics and Mathematical Sciences, 2001, vol. 26, 1-21

Abstract:

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 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.

Date: 2001
References: Add references at CitEc
Citations:

Downloads: (external link)
http://downloads.hindawi.com/journals/IJMMS/26/804716.pdf (application/pdf)
http://downloads.hindawi.com/journals/IJMMS/26/804716.xml (text/xml)

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:804716

DOI: 10.1155/S0161171201020154

Access Statistics for this article

More articles in International Journal of Mathematics and Mathematical Sciences from Hindawi
Bibliographic data for series maintained by Mohamed Abdelhakeem ().