Homogeneous varieties for Hilbert schemes
Commutative Algebra
2009-07-09 v2 Algebraic Geometry
Abstract
The paper concerns the affine varieties that are homogeneous with respect to a (non-standard) graduation over the group Z^m. Among the other properties it is shown that every such a variety can be embedded in its Zariski tangent space at the origin, so that it is smooth if and only if it is isomorphic to an affine space. The results directly apply to the study of Hilbert schemes of subvarieties in P^n.
Cite
@article{arxiv.0901.3263,
title = {Homogeneous varieties for Hilbert schemes},
author = {Giorgio Ferrarese and Margherita Roggero},
journal= {arXiv preprint arXiv:0901.3263},
year = {2009}
}
Comments
References added and corrected typos