Four-dimensional projective orbifold hypersurfaces

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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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
Additional Information: This is an Accepted Manuscript of an article published by Taylor & Francis in Experimental Mathematics on 08/12/2015 available online:
Keywords: Fano, Calabi-Yau, Threefold, Fourfold, Orbifold, Weighted Hypersurface
Schools/Departments: University of Nottingham UK Campus > Faculty of Science > School of Mathematical Sciences
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Depositing User: Kasprzyk, Dr Alexander
Date Deposited: 10 Dec 2015 13:22
Last Modified: 23 Sep 2016 05:13

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