On the geometry of the Hilbert schemes of points in the projective plane
Algebraic Geometry
2007-05-23 v2
Abstract
We classify minimal-degree curves in the Hilbert schemes of points on algebraic surfaces. When the algebraic surface is the projective plane, the nef cone and a flip structure of these Hilbert schemes are determined.
Cite
@article{arxiv.math/0105213,
title = {On the geometry of the Hilbert schemes of points in the projective plane},
author = {Wei-ping Li and Zhenbo Qin and Qi Zhang},
journal= {arXiv preprint arXiv:math/0105213},
year = {2007}
}
Comments
substantially revised, 19 pages