Open Covers and Lex Points of Hilbert Schemes over Quotient Rings via Relative Marked Bases
Co-author(s): Cristina Bertone and Francesca Cioffi and Matthias Orth
Reference: Experimental Mathematics, 34 (2025) 38-52
Description: We extend the ideas presented in [41] to Hilbert schemes over quotient rings defined by quasi-stable ideals. This includes in particular Clements-Lindström rings. We study the lex-point of these schemes and show with explicit examples that in this extension singular lex-points are possible.
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