Counting rational points on quartic del Pezzo surfaces with a rational conic

被引：3

作者：

Browning, T. D. ^{[1
]}

Sofos, E. ^{[2
]}

机构：

[1] Univ Bristol, Sch Math, Bristol BS8 1TW, Avon, England

[2] Max Planck Inst Math, Vivatgasse 7, D-53111 Bonn, Germany

来源：

MATHEMATISCHE ANNALEN | 2019年 / 373卷 / 3-4期

基金：

欧洲研究理事会;

关键词：

CONJECTURE; SUMS;

D O I：

10.1007/s00208-018-1716-6

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Upper and lower bounds, of the expected order of magnitude, are obtained for the number of rational points of bounded height on any quartic del Pezzo surface over Q that contains a conic defined over Q.

引用

页码：977 / 1016

页数：40

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