Poincaré institute

Reinventing rational points

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Hilbert Property for Double Conic Bundles and del Pezzo Varieties

Sam Streeter

In this talk we introduce the Hilbert property as a geometric notion for describing the abundance of rational points on a variety. We will indicate its connections to the inverse Galois problem and show that it is satisfied by surfaces with two distinct conic fibrations. In particular, we will verify the Hilbert property for certain del Pezzo surfaces and their higher-dimensional analogues, del Pezzo varieties.