Rational points and non-anticanonical height functions-Reference-Cited by-同舟云学术

Rational points and non-anticanonical height functions

Published:2019-04-18 Issue:8 Volume:147 Page:3209-3223
ISSN:0002-9939
Container-title:Proceedings of the American Mathematical Society
language:en
Short-container-title:Proc. Amer. Math. Soc.

Author:

Frei Christopher,Loughran Daniel

Abstract

A conjecture of Batyrev and Manin predicts the asymptotic behaviour of rational points of bounded height on smooth projective varieties over number fields. We prove some new cases of this conjecture for conic bundle surfaces equipped with some non-anticanonical height functions. As a special case, we verify these conjectures for the first time for some smooth cubic surfaces for height functions associated to certain ample line bundles.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

http://www.ams.org/proc/2019-147-08/S0002-9939-2019-14248-9/S0002-9939-2019-14248-9.pdf

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