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arXiv:2107.02204 [math.AG]AbstractReferencesReviewsResources

Hilbert Schemes with Two Borel-fixed Points in Arbitrary Characteristic

Andrew P. Staal

Published 2021-07-05Version 1

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.

Comments: Improved the presentation of a previous draft, added detail to the main proof, a couple further remarks; comments welcome!
Categories: math.AG, math.AC
Subjects: 14D22, 14J10, 14Q15, 13C05, 13C70
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