THE DENSITY OF ALGEBRAIC POINTS ON CERTAIN PFAFFIAN SURFACES

被引：23

作者：

Jones, G. O. ^{[1
]}

Thomas, M. E. M. ^{[2
]}

机构：

[1] Univ Manchester, Sch Math, Manchester M13 9PL, Lancs, England

[2] Univ Konstanz, Fachbereich Math & Stat Zukunftskolleg, D-78457 Constance, Germany

来源：

QUARTERLY JOURNAL OF MATHEMATICS | 2012年 / 63卷 / 03期

基金：

英国工程与自然科学研究理事会;

关键词：

RATIONAL-POINTS; COMPLEXITY;

D O I：

10.1093/qmath/har011

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We prove some instances of Wilkie's conjecture on the density of rational points on sets definable in the real exponential field. In particular, we prove that this conjecture is true for surfaces defined using restricted exponentiation, and that it is true for a general Pfaffian surface provided that the surface admits a certain kind of parameterization.

引用

页码：637 / 651

页数：15

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