Hilbert Schemes with Two Borel-fixed Points in Arbitrary Characteristic

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.

Added some references, remarks, and counter-examples to generalizations; comments welcome!