Rational points of bounded height and the Weil restriction

Publikation: Beitrag in Fachzeitschrift › Artikel › Forschung › Peer-Review

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  • Daniel Loughran

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OriginalspracheEnglisch
Seiten (von - bis)47-79
Seitenumfang33
FachzeitschriftIsrael journal of mathematics
Jahrgang210
Ausgabenummer1
PublikationsstatusVeröffentlicht - 1 Sept. 2015

Abstract

Given an extension of number fields E ⊂ F and a projective variety X over F, we compare the problem of counting the number of rational points of bounded height on X with that of its Weil restriction over E. In particular, we consider the compatibility with respect to the Weil restriction of conjectural asymptotic formulae due to Manin and others. Using our methods we prove several new cases of these conjectures. We also construct new counterexamples over every number field.

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Rational points of bounded height and the Weil restriction. / Loughran, Daniel.
in: Israel journal of mathematics, Jahrgang 210, Nr. 1, 01.09.2015, S. 47-79.

Publikation: Beitrag in Fachzeitschrift › Artikel › Forschung › Peer-Review

Loughran D. Rational points of bounded height and the Weil restriction. Israel journal of mathematics. 2015 Sep 1;210(1):47-79. doi: 10.1007/s11856-015-1245-x
Loughran, Daniel. / Rational points of bounded height and the Weil restriction. in: Israel journal of mathematics. 2015 ; Jahrgang 210, Nr. 1. S. 47-79.
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