On the symmetric subscheme of Hilbert scheme of points
Algebraic Geometry
2011-11-10 v2 Commutative Algebra
Combinatorics
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.
Keywords
Cite
@article{arxiv.0708.3390,
title = {On the symmetric subscheme of Hilbert scheme of points},
author = {Kyungyong Lee},
journal= {arXiv preprint arXiv:0708.3390},
year = {2011}
}
Comments
14 pages, references added, introduction improved