Details:
| Title | On hypersurface quotient singularities of dimension $4$. | | Author(s) | Christophe Raffalli, Shi-Shyr 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 G-Hilbert scheme HilbG(ℂn) and crepant resolutions of ℂn/G for G the A-type 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 4-folds. 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 | 0161-1712; 1687-0425/e |
| URL |
http://www.hindawi.com/journals/ijmms/2004/280984/abs/ |
| Language | English | | Journal | Int. J. Math. Math. Sci. | | Volume | 2004 | | Number | 45-48 | | Pages | 2547--2581 | | Publisher | Hindawi, New York, NY | | Year | 2004 | | Edition | 0 | | Translation |
No | | Refereed |
No |
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