Formal-local Structure of the Hilbert Scheme of Points on Three-Dimensional Complex Affine Space around Special Monomial Ideals
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چکیده
We show that the formal completion of the Hilbert scheme of points in C3 at subschemes carved out by powers of the maximal ideal corresponding to the origin is given as the critical locus of a homogeneous cubic function. In particular, the Hilbert scheme is formal-locally a cone around these distinguished points.
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تاریخ انتشار 2016