On hypersurface quotient singularities of dimension 4

Li Chiang and Shi-Shyr Roan

International Journal of Mathematics and Mathematical Sciences, 2004, vol. 2004, 1-35

Abstract:

We consider geometrical problems on Gorenstein hypersurface orbifolds of dimension n ≥ 4 through the theory of Hilbert scheme of group orbits. For a linear special group G acting on â„‚ n , we study the G -Hilbert scheme Hilb G ( â„‚ n ) and crepant resolutions of â„‚ n / G for G the A -type abelian group A r ( n ) . For n = 4 , we obtain the explicit structure of Hilb A r ( 4 ) ( â„‚ 4 ) . The crepant resolutions of â„‚ 4 / A r ( 4 ) are constructed through their relation with Hilb A r ( 4 ) ( â„‚ 4 ) , and the connections between these crepant resolutions are found by the “flop” procedure of 4-folds. We also make some primitive discussion on Hilb G ( â„‚ n ) for G the alternating group 𝔄 n + 1 of degree n + 1 with the standard representation on â„‚ n ; the detailed structure of Hilb 𝔄 4 ( â„‚ 3 ) is explicitly constructed.

Date: 2004
References: Add references at CitEc
Citations:

Downloads: (external link)
http://downloads.hindawi.com/journals/IJMMS/2004/280984.pdf (application/pdf)
http://downloads.hindawi.com/journals/IJMMS/2004/280984.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:280984

DOI: 10.1155/S0161171204302140

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 ().