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Polarized Calabi-Yau 3-folds in codimension 4.

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Brown, Gavin and Georgiadis, Konstantinos (2017) Polarized Calabi-Yau 3-folds in codimension 4. Mathematische Nachrichten, 290 (5-6). pp. 710-725. doi:10.1002/mana.201600123

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Official URL: http://doi.org/10.1002/mana.201600123

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Abstract

We construct Calabi–Yau 3-fold orbifolds embedded in weighted projective space in codimension 4. Each Hilbert series we consider is realised by at least two deformation families of Calabi–Yau 3-folds, distinguished by their topology, echoing a similar phenomenon for Fano 3-folds in high codimension.

Item Type: Journal Article
Subjects: Q Science > QA Mathematics
Divisions: Faculty of Science, Engineering and Medicine > Science > Mathematics
Library of Congress Subject Headings (LCSH): Calabi-Yau manifolds, Orbifolds, Threefolds (Algebraic geometry), Hilbert schemes
Journal or Publication Title: Mathematische Nachrichten
Publisher: Wiley - V C H Verlag GmbH & Co. KGaA
ISSN: 0025-584X
Official Date: April 2017
Dates:
DateEvent
April 2017Published
12 September 2016Available
22 June 2016Accepted
Volume: 290
Number: 5-6
Page Range: pp. 710-725
DOI: 10.1002/mana.201600123
Status: Peer Reviewed
Publication Status: Published
Access rights to Published version: Restricted or Subscription Access
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