On the symmetric subscheme of Hilbert scheme of points

Kyungyong Lee

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arXiv · 0708.3390

On the symmetric subscheme of Hilbert scheme of points

Kyungyong Lee

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Abstract

We consider the Hilbert scheme Hilb^{d+1}(C^d) of (d+1) points in affine d-space C^d (d > 2), which includes the square of any maximal ideal. We describe equations for the most symmetric affine open subscheme of Hilb^{d+1}(C^d), in terms of Schur modules. In addition we prove that Hilb^{d+1}(C^d) is reducible for n>d>11.

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BibTeX RIS

Kyungyong Lee. 2007-11-09. On the symmetric subscheme of Hilbert scheme of points. https://arxiv.org/abs/0708.3390

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