Hilbert Schemes with Two Borel-fixed Points in Arbitrary Characteristic
Algebraic Geometry
2021-08-03 v2 Commutative Algebra
Abstract
We extend the recent classification of Hilbert schemes with two Borel-fixed points to arbitrary characteristic. We accomplish this by synthesizing Reeves' algorithm for generating strongly stable ideals with the basic properties of Borel-fixed ideals and our previous work classifying Hilbert schemes with unique Borel-fixed points.
Cite
@article{arxiv.2107.02204,
title = {Hilbert Schemes with Two Borel-fixed Points in Arbitrary Characteristic},
author = {Andrew P. Staal},
journal= {arXiv preprint arXiv:2107.02204},
year = {2021}
}
Comments
Added some references, remarks, and counter-examples to generalizations; comments welcome!