An Abundance of K3 Fibrations from Polyhedra with Interchangeable Parts
Even a cursory inspection of the Hodge plot associated with Calabi-Yau threefolds that are hypersurfaces in toric varieties reveals striking structures. These patterns correspond to webs of elliptic-K3 fibrations whose mirror images are also elliptic-K3 fibrations. Such manifolds arise from reflexiv...
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| Format: | Journal article |
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2012
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| _version_ | 1797064330594746368 |
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| author | Candelas, P Constantin, A Skarke, H |
| author_facet | Candelas, P Constantin, A Skarke, H |
| author_sort | Candelas, P |
| collection | OXFORD |
| description | Even a cursory inspection of the Hodge plot associated with Calabi-Yau threefolds that are hypersurfaces in toric varieties reveals striking structures. These patterns correspond to webs of elliptic-K3 fibrations whose mirror images are also elliptic-K3 fibrations. Such manifolds arise from reflexive polytopes that can be cut into two parts along slices corresponding to the K3 fibers. Any two half-polytopes over a given slice can be combined into a reflexive polytope. This fact, together with a remarkable relation on the additivity of Hodge numbers, explains much of the structure of the observed patterns. |
| first_indexed | 2024-03-06T21:12:44Z |
| format | Journal article |
| id | oxford-uuid:3ebbb82e-a353-4a0c-89f2-6dde1b3b572c |
| institution | University of Oxford |
| last_indexed | 2024-03-06T21:12:44Z |
| publishDate | 2012 |
| record_format | dspace |
| spelling | oxford-uuid:3ebbb82e-a353-4a0c-89f2-6dde1b3b572c2022-03-26T14:27:20ZAn Abundance of K3 Fibrations from Polyhedra with Interchangeable PartsJournal articlehttp://purl.org/coar/resource_type/c_dcae04bcuuid:3ebbb82e-a353-4a0c-89f2-6dde1b3b572cSymplectic Elements at Oxford2012Candelas, PConstantin, ASkarke, HEven a cursory inspection of the Hodge plot associated with Calabi-Yau threefolds that are hypersurfaces in toric varieties reveals striking structures. These patterns correspond to webs of elliptic-K3 fibrations whose mirror images are also elliptic-K3 fibrations. Such manifolds arise from reflexive polytopes that can be cut into two parts along slices corresponding to the K3 fibers. Any two half-polytopes over a given slice can be combined into a reflexive polytope. This fact, together with a remarkable relation on the additivity of Hodge numbers, explains much of the structure of the observed patterns. |
| spellingShingle | Candelas, P Constantin, A Skarke, H An Abundance of K3 Fibrations from Polyhedra with Interchangeable Parts |
| title | An Abundance of K3 Fibrations from Polyhedra with Interchangeable Parts |
| title_full | An Abundance of K3 Fibrations from Polyhedra with Interchangeable Parts |
| title_fullStr | An Abundance of K3 Fibrations from Polyhedra with Interchangeable Parts |
| title_full_unstemmed | An Abundance of K3 Fibrations from Polyhedra with Interchangeable Parts |
| title_short | An Abundance of K3 Fibrations from Polyhedra with Interchangeable Parts |
| title_sort | abundance of k3 fibrations from polyhedra with interchangeable parts |
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