Integral points of bounded height on a certain toric variety

verfasst von

Florian Wilsch

Abstract

We determine an asymptotic formula for the number of integral points of bounded height on a certain toric variety, which is incompatible with part of a preprint by Chambert-Loir and Tschinkel. We provide an alternative interpretation of the asymptotic formula we get. To do so, we construct an analogue of Peyre's constant α and describe its relation to a new obstruction to the Zariski density of integral points in certain regions of varieties.

Organisationseinheit(en)

Institut für Algebra, Zahlentheorie und Diskrete Mathematik

Typ

Artikel

Journal

Transactions of the American Mathematical Society Series B

Band

11

Seiten

567-599

Anzahl der Seiten

33

ISSN

2330-0000

Publikationsdatum

26.02.2024

Publikationsstatus

Veröffentlicht

Peer-reviewed

Ja

ASJC Scopus Sachgebiete

Mathematik (sonstige)

Elektronische Version(en)

https://doi.org/10.1090/btran/166 (Zugang: Offen)