On Fixed Points of Rational Self-Maps of Complex Projective Plane

被引：2

作者：

Ivashkovich, S. ^{[1
,2
]}

机构：

[1] Univ Lille 1, UFR Math, F-59655 Villeneuve Dascq, France

[2] IAPMM Nat Acad Sci Ukraine, UA-79601 Lvov, Ukraine

来源：

INDIANA UNIVERSITY MATHEMATICS JOURNAL | 2011年 / 60卷 / 03期

关键词：

fixed point; rational map; meromorphic map;

D O I：

10.1512/iumj.2011.60.4265

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

For any given natural d >= 1 we provide examples of rational self-maps of complex projective plane P-2 of degree d without (holomorphic) fixed points. This makes a contrast with the situation in one dimension. We also prove that the set of fixed-point-free rational self-maps of P-2 is closed (modulo "degenerate" maps) in some natural topology on the space of rational self-maps of P-2.

引用

页码：803 / 812

页数：10

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