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Hilbert schemes of $G$-orbits in dimension three

Hilbert schemes of $G$-orbits in dimension three

We study the precise structure of Hilbert scheme Hilb G (C 3 ) of G-orbits in the space C 3 when the group G is a simple subgroup of SL(3, C) of either 60 or 168.These are the only possible non-abelian simple subgroups of SL(3, C). Introduction.For a given finite …