Four-dimensional projective orbifold hypersurfaces

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Brown, Gavin and Kasprzyk, Alexander M. (2015) Four-dimensional projective orbifold hypersurfaces. Experimental Mathematics, 25 (2). pp. 176-193. ISSN 1944-950X

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Abstract

We classify four-dimensional quasismooth weighted hypersurfaces with small canonical class, and verify a conjecture of Johnson and Kollar 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: Article
RIS ID: https://nottingham-repository.worktribe.com/output/769741
Additional Information: This is an Accepted Manuscript of an article published by Taylor & Francis in Experimental Mathematics on 08/12/2015 available online: http://www.tandfonline.com/doi/full/10.1080/10586458.2015.1054054
Keywords: Fano, Calabi-Yau, Threefold, Fourfold, Orbifold, Weighted Hypersurface
Schools/Departments: University of Nottingham, UK > Faculty of Science > School of Mathematical Sciences
Identification Number: 10.1080/10586458.2015.1054054
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http://www.tandfonline.com/loi/uexm20
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Depositing User: Kasprzyk, Dr Alexander
Date Deposited: 10 Dec 2015 13:22
Last Modified: 04 May 2020 17:27
URI: https://eprints.nottingham.ac.uk/id/eprint/31032

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