Gavin Brown
Gorenstein Formats, Canonical and Calabi–Yau Threefolds
Brown, Gavin; Kasprzyk, Alexander; Zhu, Lei
Abstract
Gorenstein formats present the equations of regular canonical, Calabi–Yau and Fano varieties embedded by subcanonical divisors. We present a new algorithm for the enumeration of these formats based on orbifold Riemann-Roch and knapsack packing-type algorithms. We apply this to extend the known lists of threefolds of general type beyond the well-known classes of complete intersections and also to find classes of Calabi-Yau threefolds with canonical singularities.
Citation
Brown, G., Kasprzyk, A., & Zhu, L. (2022). Gorenstein Formats, Canonical and Calabi–Yau Threefolds. Experimental Mathematics, 31(1), 146-164. https://doi.org/10.1080/10586458.2019.1592036
Journal Article Type | Article |
---|---|
Acceptance Date | Jan 20, 2019 |
Online Publication Date | Apr 23, 2019 |
Publication Date | 2022 |
Deposit Date | Mar 14, 2019 |
Publicly Available Date | Apr 26, 2019 |
Journal | Experimental Mathematics |
Print ISSN | 1058-6458 |
Electronic ISSN | 1944-950X |
Publisher | Taylor & Francis Open |
Peer Reviewed | Peer Reviewed |
Volume | 31 |
Issue | 1 |
Pages | 146-164 |
DOI | https://doi.org/10.1080/10586458.2019.1592036 |
Keywords | Gorenstein format; Key variety; Threefold; General type; Calabi-Yau; Fano; Canonical orbitfold |
Public URL | https://nottingham-repository.worktribe.com/output/1605893 |
Publisher URL | https://www.tandfonline.com/doi/full/10.1080/10586458.2019.1592036 |
Files
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Publisher Licence URL
http://creativecommons.org/licenses/by-nc-nd/4.0/
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