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Gorenstein formats, canonical and Calabi-Yau threefolds
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Brown, Gavin, Kasprzyk, Alexander and Zhu, Lei (2022) Gorenstein formats, canonical and Calabi-Yau threefolds. Experimental Mathematics, 31 (1). pp. 146-164. doi:10.1080/10586458.2019.1592036 ISSN 1944-950X.
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Official URL: https://doi.org/10.1080/10586458.2019.1592036
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.
| Item Type: | Journal Article | ||||||||
|---|---|---|---|---|---|---|---|---|---|
| Subjects: | Q Science > QA Mathematics | ||||||||
| Divisions: | Faculty of Science, Engineering and Medicine > Science > Mathematics | ||||||||
| Journal or Publication Title: | Experimental Mathematics | ||||||||
| Publisher: | Taylor & Francis | ||||||||
| ISSN: | 1944-950X | ||||||||
| Official Date: | 2022 | ||||||||
| Dates: |
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| Volume: | 31 | ||||||||
| Number: | 1 | ||||||||
| Page Range: | pp. 146-164 | ||||||||
| DOI: | 10.1080/10586458.2019.1592036 | ||||||||
| Status: | Peer Reviewed | ||||||||
| Publication Status: | Published | ||||||||
| Reuse Statement (publisher, data, author rights): | “This is an Accepted Manuscript of an article published by Taylor & Francis in [JOURNAL TITLE] on [date of publication], available online: http://www.tandfonline.com/[Article DOI].” | ||||||||
| Access rights to Published version: | Open Access (Creative Commons) | ||||||||
| Date of first compliant deposit: | 7 March 2019 | ||||||||
| Date of first compliant Open Access: | 16 August 2019 | ||||||||
| Related URLs: | |||||||||
| Open Access Version: |
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