# Surfaces elliptiques réelles et inégalité de Ragsdale-Viro

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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.

Autor: Frédéric Mangolte

Fuente: https://archive.org/