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Calabi-Yau threefolds with small Hodge numbers

Abstract:
We present a master list of Calabi-Yau threefolds, known to us, with small Hodge numbers, which we understand to be those manifolds with height $(h^{1,1}+h^{2,1})\le 24$. With the completion of a project to compute the Hodge numbers of all free quotients of complete intersection Calabi-Yau threefolds by Candelas et. al. in [1-3], many new points have been added to the tip of the Hodge plot, updating the reviews by Davies and Candelas in [1,4]. In view of this and other recent constructions of Calabi-Yau threefolds with small height we have produced an updated list.
Publication status:
Published
Peer review status:
Peer reviewed

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Publisher copy:
10.1002/prop.201800029

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Institution:
University of Oxford
Division:
MPLS
Department:
Mathematical Institute
Oxford college:
Wadham College
Role:
Author
More by this author
Institution:
University of Oxford
Division:
MPLS Division
Department:
Physics; Theoretical Physics
Role:
Author



Publisher:
Wiley
Journal:
Fortschritte der Physik More from this journal
Volume:
66
Issue:
6
Article number:
1800029
Publication date:
2018-06-19
Acceptance date:
2018-04-26
DOI:
EISSN:
1521-3978
ISSN:
0015-8208


Keywords:
Pubs id:
pubs:606582
UUID:
uuid:afeba06a-cec5-4d07-8fe6-6e80d76813d3
Local pid:
pubs:606582
Source identifiers:
606582
Deposit date:
2018-04-27

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