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A Smooth Four-Dimensional G-Hilbert Scheme

Sebestean, Magda — 2004

Serdica Mathematical Journal

2000 Mathematics Subject Classification: 14C05, 14L30, 14E15, 14J35. When the cyclic group G of order 15 acts with some specific weights on affine four-dimensional space, the G-Hilbert scheme is a crepant resolution of the quotient A^4 / G. We give an explicit description of this resolution using G-graphs.

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