Mathematical Research Letters

Volume 28 (2021)

Number 1

Hilbert property for double conic bundles and del Pezzo varieties

Pages: 271 – 283



Sam Streeter (Department of Mathematical Sciences, University of Bath, United Kingdom)


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.

Received 30 April 2019

Accepted 22 August 2019

Published 24 May 2022