Weak approximation and the Hilbert property for Campana points

Sam Streeter; Masahiro Nakahara

Weak approximation and the Hilbert property for Campana points

Sam Streeter, Masahiro Nakahara

School of Mathematics

Research output: Other contribution

Abstract

We study weak approximation and the Hilbert property for Campana points, both of importance in recent work on a Manin-type conjecture by Pieropan, Smeets, Tanimoto and Varilly-Alvarado. We show that weak weak approximation implies the Hilbert property for Campana points, and we exploit this to exhibit Campana orbifolds whose sets of Campana points are not thin.

Original language	Undefined/Unknown
Publication status	Published - 23 Oct 2020

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title = "Weak approximation and the Hilbert property for Campana points",

abstract = "We study weak approximation and the Hilbert property for Campana points, both of importance in recent work on a Manin-type conjecture by Pieropan, Smeets, Tanimoto and Varilly-Alvarado. We show that weak weak approximation implies the Hilbert property for Campana points, and we exploit this to exhibit Campana orbifolds whose sets of Campana points are not thin.",

author = "Sam Streeter and Masahiro Nakahara",

year = "2020",

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AU - Streeter, Sam

AU - Nakahara, Masahiro

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Y1 - 2020/10/23

N2 - We study weak approximation and the Hilbert property for Campana points, both of importance in recent work on a Manin-type conjecture by Pieropan, Smeets, Tanimoto and Varilly-Alvarado. We show that weak weak approximation implies the Hilbert property for Campana points, and we exploit this to exhibit Campana orbifolds whose sets of Campana points are not thin.

AB - We study weak approximation and the Hilbert property for Campana points, both of importance in recent work on a Manin-type conjecture by Pieropan, Smeets, Tanimoto and Varilly-Alvarado. We show that weak weak approximation implies the Hilbert property for Campana points, and we exploit this to exhibit Campana orbifolds whose sets of Campana points are not thin.

M3 - Other contribution

ER -