Brown, Gavin and Kasprzyk, Alexander (2015) Four-dimensional projective orbifold hypersurfaces. Experimental Mathematics, 25 (2). pp. 176-193. doi:10.1080/10586458.2015.1054054 ISSN 1058-6458.

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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, Engineering and Medicine > Science > Mathematics
Journal or Publication Title:	Experimental Mathematics
Publisher:	A K Peters, Ltd.
ISSN:	1058-6458
Official Date:	8 December 2015
Dates:	Date Event 8 December 2015 Published 9 May 2015 Accepted
Volume:	25
Number:	2
Page Range:	pp. 176-193
DOI:	10.1080/10586458.2015.1054054
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 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
Date of first compliant deposit:	28 January 2019
Date of first compliant Open Access:	28 January 2019
Open Access Version:	ArXiv

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