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Four-dimensional projective orbifold hypersurfaces
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Brown, Gavin and Kasprzyk, Alexander (2015) Four-dimensional projective orbifold hypersurfaces. Experimental Mathematics, 25 (2). pp. 176-193. doi:10.1080/10586458.2015.1054054
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WRAP-four-dimensional-projective-orbifold-hypersurfaces-Brown-2015.pdf - Accepted Version - Requires a PDF viewer. Download (687Kb) | Preview |
Official URL: https://doi.org/10.1080/10586458.2015.1054054
Abstract
We classify four-dimensional quasismooth weighted hypersurfaces with small canonical class and verify a conjecture of Johnson and Kollár on infinite series of quasismooth hypersurfaces with anticanonical hyperplane section in the case of fourfolds. By considering the quotient singularities that arise, we classify those weighted hypersurfaces that are canonical, Calabi–Yau and Fano fourfolds. We also consider other classes of hypersurfaces, including Fano hypersurfaces of index greater than 1 in dimensions 3 and 4.
| Item Type: | Journal Article | ||||||
|---|---|---|---|---|---|---|---|
| Subjects: | Q Science > QA Mathematics | ||||||
| Divisions: | Faculty of Science > Mathematics | ||||||
| Journal or Publication Title: | Experimental Mathematics | ||||||
| Publisher: | A K Peters, Ltd. | ||||||
| ISSN: | 1058-6458 | ||||||
| Official Date: | 8 December 2015 | ||||||
| Dates: |
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| Date of first compliant deposit: | 28 January 2019 | ||||||
| Volume: | 25 | ||||||
| Number: | 2 | ||||||
| Page Range: | pp. 176-193 | ||||||
| DOI: | 10.1080/10586458.2015.1054054 | ||||||
| Status: | Peer Reviewed | ||||||
| Publication Status: | Published | ||||||
| Publisher Statement: | “This is an Accepted Manuscript of an article published by Taylor & Francis in Experimental Mathematics on 08/01/2015, available online: http://www.tandfonline.com/10.1080/10586458.2015.1054054 | ||||||
| Access rights to Published version: | Restricted or Subscription Access | ||||||
| Open Access Version: |
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