Hilbert property for double conic bundles and del Pezzo varieties

Sam Streeter

doi:10.4310/MRL.2021.V28.N1.A11

Hilbert property for double conic bundles and del Pezzo varieties

Sam Streeter

Department of Mathematical Sciences

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8 Citations (SciVal)

107 Downloads (Pure)

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 language	English
Pages (from-to)	271-283
Number of pages	13
Journal	Mathematical Research Letters
Volume	28
Issue number	1
DOIs	https://doi.org/10.4310/MRL.2021.V28.N1.A11
Publication status	Published - 19 Apr 2021

Bibliographical note

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© 2021 International Press of Boston, Inc.. All rights reserved.

Copyright:
Copyright 2021 Elsevier B.V., All rights reserved.

ASJC Scopus subject areas

General Mathematics

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10.4310/MRL.2021.V28.N1.A11

MRL_28_01_A11.PDF
(c) The International Press of Boston
Accepted author manuscript, 143 KB

https://arxiv.org/abs/1812.05937v4

Cite this

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Hilbert property for double conic bundles and del Pezzo varieties

Abstract

Bibliographical note

ASJC Scopus subject areas

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