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| Main Author: | |
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| Format: | Preprint |
| Published: |
1998
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/math/9807020 |
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| _version_ | 1866912388089905152 |
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| author | Mangolte, Frédéric |
| author_facet | Mangolte, Frédéric |
| contents | On a real regular elliptic surface without multiple fiber, the Betti number $h_1$ and the Hodge number $h^{1,1}$ are related by $h_1\leq h^{1,1}$. We prove that it's always possible to deform such algebraic surface to obtain $h_1=h^{1,1}$. Furthermore, we can impose that each homology class can be represented by a real algebraic curve. We use a real version of the modular construction of elliptic surfaces. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_math_9807020 |
| institution | arXiv |
| publishDate | 1998 |
| record_format | arxiv |
| spellingShingle | Surfaces elliptiques réelles et inégalité de Ragsdale-Viro Mangolte, Frédéric Algebraic Geometry 14J27, 14C25 14P25 On a real regular elliptic surface without multiple fiber, the Betti number $h_1$ and the Hodge number $h^{1,1}$ are related by $h_1\leq h^{1,1}$. We prove that it's always possible to deform such algebraic surface to obtain $h_1=h^{1,1}$. Furthermore, we can impose that each homology class can be represented by a real algebraic curve. We use a real version of the modular construction of elliptic surfaces. |
| title | Surfaces elliptiques réelles et inégalité de Ragsdale-Viro |
| topic | Algebraic Geometry 14J27, 14C25 14P25 |
| url | https://arxiv.org/abs/math/9807020 |