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

被引：25
|
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.
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页码：421 / 464
页数：44
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