Hilbert property for double conic bundles and del Pezzo varieties

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Abstract

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.

Original languageEnglish
Pages (from-to)271-283
Number of pages13
JournalMathematical Research Letters
Volume28
Issue number1
DOIs
Publication statusPublished - 19 Apr 2021

ASJC Scopus subject areas

  • Mathematics(all)

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