Salvato in:
| Autore principale: | |
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| Natura: | Preprint |
| Pubblicazione: |
1998
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| Soggetti: | |
| Accesso online: | https://arxiv.org/abs/math/9807020 |
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Sommario:
- 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.