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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
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 > 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: |
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| 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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