On the symmetric subscheme of Hilbert scheme of points
نویسنده
چکیده
We consider the Hilbert scheme Hilb(Cd) of (d + 1) points in affine d-space C (d ≥ 3), which includes the square of any maximal ideal. We describe equations for the most symmetric affine open subscheme of Hilb(Cd), in terms of Schur modules. In addition we prove that Hilb(Cd) is reducible for n > d ≥ 12.
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