In this paper we prove that, over a Hilbertian ground field, surfaces with two conic fibrations whose fibres have non-zero intersection product have the Hilbert property. We then give an application of this result, namely the verification of the Hilbert property for certain del Pezzo varieties.

中文翻译：

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双锥束和del Pezzo品种的Hilbert属性

在本文中，我们证明了，在希尔伯特地域上，具有两个圆锥形纤维的表面具有希尔伯特性质，而两个圆锥形纤维的纤维具有非零相交积。然后，我们对该结果进行应用，即对某些del Pezzo品种的Hilbert属性进行验证。