Details:
Title  On hypersurface quotient singularities of dimension $4$.  Author(s)  Christophe Raffalli, ShiShyr Roan  Type  Article in Journal  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 ℂn, we study the GHilbert scheme HilbG(ℂn) and crepant resolutions of ℂn/G for G the Atype abelian group Ar(n). For n=4, we obtain the explicit structure of HilbAr(4)(ℂ4). The crepant resolutions of ℂ4/Ar(4) are constructed through their relation with HilbAr(4)(ℂ4), and the connections between these crepant resolutions are found by the “flop” procedure of 4folds. We also make some primitive discussion on HilbG(ℂn) for G the alternating group 𝔄n+1 of degree n+1 with the standard representation on ℂn; the detailed structure of Hilb𝔄4(ℂ3) is explicitly constructed.  ISSN  01611712; 16870425/e 
URL 
http://www.hindawi.com/journals/ijmms/2004/280984/abs/ 
Language  English  Journal  Int. J. Math. Math. Sci.  Volume  2004  Number  4548  Pages  25472581  Publisher  Hindawi, New York, NY  Year  2004  Edition  0  Translation 
No  Refereed 
No 
