Rational Points and Non-anticanonical Height Functions

Christopher Frei, Daniel Loughran

Publikation: Beitrag in einer FachzeitschriftArtikel

Abstract

A conjecture of Batyrev and Manin predicts the asymptotic behaviourof rational points of bounded height on smooth projective varieties overnumber fields. We prove some new cases of this conjecture for conic bundle surfacesequipped with some non-anticanonical height functions. As a special case,we verify these conjectures for the first time for some smooth cubic surfaces forheight functions associated to certain ample line bundles.
Originalspracheenglisch
Seiten (von - bis)1-17
Seitenumfang17
FachzeitschriftProceedings of the American Mathematical Society
DOIs
PublikationsstatusVeröffentlicht - 2019

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