Deformations of half-canonical Gorenstein curves in codimension four
Algebraic Geometry
2023-09-21 v2
Abstract
Recent work of Ablett arXiv:2112.03400 and Kapustka, Kapustka, Ranestad, Schenck, Stillman and Yuan arXiv:2111.05817 outlines a number of constructions for singular Gorenstein codimension four varieties. Earlier work of Coughlan, Go{\l}\c{e}biowski, Kapustka and Kapustka arXiv:1609.01195 details a series of nonsingular Gorenstein codimension four constructions with different Betti tables. In this paper we exhibit a number of flat deformations between Gorenstein codimension four varieties in the same Hilbert scheme, realising many of the singular varieties as specialisations of the earlier nonsingular varieties.
Keywords
Cite
@article{arxiv.2211.00487,
title = {Deformations of half-canonical Gorenstein curves in codimension four},
author = {Patience Ablett and Stephen Coughlan},
journal= {arXiv preprint arXiv:2211.00487},
year = {2023}
}