On the arithmetic dynamic of automorphisms of the affine space

被引：9

作者：

Marcello, S

机构：

[1] MPIM, D-53072 Bonn, Germany

[2] Inst Math Jussieu, F-75013 Paris, France

来源：

BULLETIN DE LA SOCIETE MATHEMATIQUE DE FRANCE | 2003年 / 131卷 / 02期

关键词：

D O I：

10.24033/bsmf.2441

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We study arithmetic properties of the iterates of some affine automorphisms. We study questions concerning periodic and non periodic points, in particular counting rational points in orbits of non-periodic points. We study the case of the regular and the triangular automorphisms. We finish to answer to the questions in dimension 2 and show that the situation is much more complicated in greater dimension.

引用

页码：229 / 257

页数：29

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