English

Hilbert property for double conic bundles and del Pezzo varieties

Algebraic Geometry 2020-09-03 v5 Number Theory

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.

Keywords

Cite

@article{arxiv.1812.05937,
  title  = {Hilbert property for double conic bundles and del Pezzo varieties},
  author = {Sam Streeter},
  journal= {arXiv preprint arXiv:1812.05937},
  year   = {2020}
}

Comments

9 pages