Number of points of bounded height on Del Pezzo surfaces of degree 5

被引：26

作者：

De La Bretèche, R ^{[1
]}

机构：

[1] Univ Paris 11, Dept Math, Lab Arithimet & Geometrie Algebrique Orsay, F-91405 Orsay, France

来源：

DUKE MATHEMATICAL JOURNAL | 2002年 / 113卷 / 03期

关键词：

D O I：

10.1215/S0012-7094-02-11332-5

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We state Manin's conjecture in the particular case of the split del Pezzo's surfaces of degree 5 over Q. We show that, for an open set U subset of V, N-U (Q) (B) : = card {P is an element of U (Q) : h(P) less than or equal to B} similar to CB (logB)(4) (B --> +infinity). The constant C is the one conjectured by E. Peyre.

引用

页码：421 / 464

页数：44

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