Some Singular Lex-Segments
Algebraic Geometry
2021-03-05 v1 Commutative Algebra
Abstract
We study the component structures of some standard-graded Hilbert schemes closely related to a Hilbert scheme of curves studied by Gotzmann. In particular, we encounter examples of singular lex-segment points lying on two and three irreducible components. We find further singular lex-segment points at nearby Hilbert schemes. We conclude by showing that the analogous example at the Hilbert scheme of twisted cubics also has a singular lex-segment point.
Keywords
Cite
@article{arxiv.2103.03071,
title = {Some Singular Lex-Segments},
author = {Andrew P. Staal},
journal= {arXiv preprint arXiv:2103.03071},
year = {2021}
}
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