The Numerical Class of a Surface on a Toric Manifold
In this paper, we give a method to describe the numerical class of a torus invariant surface on a projective toric manifold. As applications, we can classify toric 2-Fano manifolds of the Picard number 2 or of dimension at most 4.
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2012-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/2012/536475 |
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| _version_ | 1832552474519535616 |
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| author | Hiroshi Sato |
| author_facet | Hiroshi Sato |
| author_sort | Hiroshi Sato |
| collection | DOAJ |
| description | In this paper, we give a method to describe the numerical class of a torus invariant surface on a projective toric manifold. As applications, we can classify toric 2-Fano manifolds of the Picard number 2 or of dimension at most 4. |
| format | Article |
| id | doaj-art-ffa94d9be0a8425bbd7f5e16b5006e49 |
| institution | Kabale University |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 2012-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-ffa94d9be0a8425bbd7f5e16b5006e492025-02-03T05:58:36ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252012-01-01201210.1155/2012/536475536475The Numerical Class of a Surface on a Toric ManifoldHiroshi Sato0Faculty of Economics and Information, Gifu Shotoku Gakuen University, 1-38 Nakauzura, Gifu 500-8288, JapanIn this paper, we give a method to describe the numerical class of a torus invariant surface on a projective toric manifold. As applications, we can classify toric 2-Fano manifolds of the Picard number 2 or of dimension at most 4.http://dx.doi.org/10.1155/2012/536475 |
| spellingShingle | Hiroshi Sato The Numerical Class of a Surface on a Toric Manifold International Journal of Mathematics and Mathematical Sciences |
| title | The Numerical Class of a Surface on a Toric Manifold |
| title_full | The Numerical Class of a Surface on a Toric Manifold |
| title_fullStr | The Numerical Class of a Surface on a Toric Manifold |
| title_full_unstemmed | The Numerical Class of a Surface on a Toric Manifold |
| title_short | The Numerical Class of a Surface on a Toric Manifold |
| title_sort | numerical class of a surface on a toric manifold |
| url | http://dx.doi.org/10.1155/2012/536475 |
| work_keys_str_mv | AT hiroshisato thenumericalclassofasurfaceonatoricmanifold AT hiroshisato numericalclassofasurfaceonatoricmanifold |