The Library
Deformations of half-canonical Gorenstein curves in codimension four
Tools
Tools
Tools
Ablett, Patience and Coughlan, Stephen (2024) Deformations of half-canonical Gorenstein curves in codimension four. Journal of Symbolic Computation, 121 . 102251. doi:10.1016/j.jsc.2023.102251 ISSN 0747-7171.
|
PDF
1-s2.0-S0747717123000652-main.pdf - Published Version - Requires a PDF viewer. Available under License Creative Commons Attribution 4.0. Download (493Kb) | Preview |
Official URL: http://doi.org/10.1016/j.jsc.2023.102251
Abstract
Recent work of Ablett (2021) and Kapustka, Kapustka, Ranestad, Schenck, Stillman and Yuan (2021) outlines a number of constructions for singular Gorenstein codimension four varieties. Earlier work of Coughlan, Gołȩbiowski, Kapustka and Kapustka (2016) 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.
| Item Type: | Journal Article | ||||||||
|---|---|---|---|---|---|---|---|---|---|
| Divisions: | Faculty of Science, Engineering and Medicine > Science > Mathematics | ||||||||
| Journal or Publication Title: | Journal of Symbolic Computation | ||||||||
| Publisher: | Elsevier Science Ltd. / Academic Press Ltd. | ||||||||
| ISSN: | 0747-7171 | ||||||||
| Official Date: | March 2024 | ||||||||
| Dates: |
|
||||||||
| Volume: | 121 | ||||||||
| Article Number: | 102251 | ||||||||
| DOI: | 10.1016/j.jsc.2023.102251 | ||||||||
| Status: | Peer Reviewed | ||||||||
| Publication Status: | Published | ||||||||
| Access rights to Published version: | Open Access (Creative Commons) | ||||||||
| Date of first compliant deposit: | 15 September 2023 | ||||||||
| Date of first compliant Open Access: | 15 September 2023 |
Request changes or add full text files to a record
Repository staff actions (login required)
 |
View Item |
Downloads
Downloads per month over past year
