Periodic points for area-preserving birational maps of surfaces

被引：10

作者：

Iwasaki, Katsunori ^{[1
]}

Uehara, Takato ^{[1
]}

机构：

[1] Kyushu Univ, Grad Sch Math, Higashi Ku, Fukuoka 8128581, Japan

来源：

MATHEMATISCHE ZEITSCHRIFT | 2010年 / 266卷 / 02期

关键词：

ELLIPTIC COMPLEXES; HOLOMORPHIC MAPS; FORMULA; CURVES; DYNAMICS; INDEXES;

D O I：

10.1007/s00209-009-0570-3

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

It is a basic problem to count the number of periodic points of a surface mapping, since the growth rate of this number as the period tends to infinity is an important dynamical invariant. However, this problem becomes difficult when the map admits curves of periodic points. In this situation we give a precise estimate of the number of isolated periodic points for an area-preserving birational map of a projective complex surface.

引用

页码：289 / 318

页数：30

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