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Toric Geometry of the Regular Convex Polyhedra
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| Zeitschriftentitel: | Journal of Mathematics |
|---|---|
| Personen und Körperschaften: | , |
| In: | Journal of Mathematics, 2017, 2017, S. 1-15 |
| Format: | E-Article |
| Sprache: | Englisch |
| veröffentlicht: |
Hindawi Limited
|
| Schlagwörter: |
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Battaglia, Fiammetta Prato, Elisa Battaglia, Fiammetta Prato, Elisa |
|---|---|
| author |
Battaglia, Fiammetta Prato, Elisa |
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Battaglia, Fiammetta Prato, Elisa Journal of Mathematics Toric Geometry of the Regular Convex Polyhedra General Mathematics |
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battaglia, fiammetta |
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Battaglia, Fiammetta Prato, Elisa 2314-4629 2314-4785 Hindawi Limited General Mathematics http://dx.doi.org/10.1155/2017/2542796 <jats:p>We describe symplectic and complex toric spaces associated with the five regular convex polyhedra. The regular tetrahedron and the cube are rational and simple, the regular octahedron is not simple, the regular dodecahedron is not rational, and the regular icosahedron is neither simple nor rational. We remark that the last two cases cannot be treated via standard toric geometry.</jats:p> Toric Geometry of the Regular Convex Polyhedra Journal of Mathematics |
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Journal of Mathematics |
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49 |
| title |
Toric Geometry of the Regular Convex Polyhedra |
| title_unstemmed |
Toric Geometry of the Regular Convex Polyhedra |
| title_full |
Toric Geometry of the Regular Convex Polyhedra |
| title_fullStr |
Toric Geometry of the Regular Convex Polyhedra |
| title_full_unstemmed |
Toric Geometry of the Regular Convex Polyhedra |
| title_short |
Toric Geometry of the Regular Convex Polyhedra |
| title_sort |
toric geometry of the regular convex polyhedra |
| topic |
General Mathematics |
| url |
http://dx.doi.org/10.1155/2017/2542796 |
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2017 |
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1-15 |
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<jats:p>We describe symplectic and complex toric spaces associated with the five regular convex polyhedra. The regular tetrahedron and the cube are rational and simple, the regular octahedron is not simple, the regular dodecahedron is not rational, and the regular icosahedron is neither simple nor rational. We remark that the last two cases cannot be treated via standard toric geometry.</jats:p> |
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| author | Battaglia, Fiammetta, Prato, Elisa |
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| description | <jats:p>We describe symplectic and complex toric spaces associated with the five regular convex polyhedra. The regular tetrahedron and the cube are rational and simple, the regular octahedron is not simple, the regular dodecahedron is not rational, and the regular icosahedron is neither simple nor rational. We remark that the last two cases cannot be treated via standard toric geometry.</jats:p> |
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| spelling | Battaglia, Fiammetta Prato, Elisa 2314-4629 2314-4785 Hindawi Limited General Mathematics http://dx.doi.org/10.1155/2017/2542796 <jats:p>We describe symplectic and complex toric spaces associated with the five regular convex polyhedra. The regular tetrahedron and the cube are rational and simple, the regular octahedron is not simple, the regular dodecahedron is not rational, and the regular icosahedron is neither simple nor rational. We remark that the last two cases cannot be treated via standard toric geometry.</jats:p> Toric Geometry of the Regular Convex Polyhedra Journal of Mathematics |
| spellingShingle | Battaglia, Fiammetta, Prato, Elisa, Journal of Mathematics, Toric Geometry of the Regular Convex Polyhedra, General Mathematics |
| title | Toric Geometry of the Regular Convex Polyhedra |
| title_full | Toric Geometry of the Regular Convex Polyhedra |
| title_fullStr | Toric Geometry of the Regular Convex Polyhedra |
| title_full_unstemmed | Toric Geometry of the Regular Convex Polyhedra |
| title_short | Toric Geometry of the Regular Convex Polyhedra |
| title_sort | toric geometry of the regular convex polyhedra |
| title_unstemmed | Toric Geometry of the Regular Convex Polyhedra |
| topic | General Mathematics |
| url | http://dx.doi.org/10.1155/2017/2542796 |