Toric Varieties in Hilbert Schemes
代数几何
2007-05-23 v1
摘要
For an arbitrary field K, let I be an ideal in the ring K[[x,y]] expressible as a polynomial in either the pair of ideals (x, y^4) and (x,y) or the pair (x,y^3) and (x^2, y). Let G be the group of automorphisms of K[[x,y]] sending the ideal (x,y^2) to itself. Then the normalization of the closure of the G orbit of I is a toric variety. We use the interplay of the properties of Hilbert schemes and toric varieties to study these spaces.
引用
@article{arxiv.math/0011217,
title = {Toric Varieties in Hilbert Schemes},
author = {Heather Russell},
journal= {arXiv preprint arXiv:math/0011217},
year = {2007}
}