On the symmetric subscheme of Hilbert scheme of points

Details On the symmetric subscheme of Hilbert scheme of points On the symmetric subscheme of Hilbert scheme of points

2007-08-26

arxiv.org/abs/0708.3390v2

Mathematics

Algebraic Geometry

14 pages, references added, introduction improved

Scientific paper

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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