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One parameter automorphism groups onC2

 

作者: Patrick Ahern,   Franc Forstneric,  

 

期刊: Complex Variables, Theory and Application: An International Journal  (Taylor Available online 1995)
卷期: Volume 27, issue 3  

页码: 245-268

 

ISSN:0278-1077

 

年代: 1995

 

DOI:10.1080/17476939508814821

 

出版商: Gordon and Breach Science Publishers

 

关键词: 32M05;34A20

 

数据来源: Taylor

 

摘要:

Given a polynomial holomorphic automorphismgofC2which is not conjugate to an affine aperiodic map, we find all real one parameter subgroups {φtt:tεR} in the holomorphic automorphis group Aut C2whose time one map φ1equalsg. For affine aperiodicgwe find all such subgroups whose infinitesimal generator ispolynomial. We also classify one parameter subgroups of the shear groupss(2)andS(2) on the planeC2.

 

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