Fiberwise Green functions of skew products semiconjugate to some polynomial products on C2

Kodai Mathematical Journal

Kohei Ueno¹ 

[1] Toba National College of Maritime Technology

关键词: Complex dynamics;    skew product;    Green function;   

DOI  :  10.2996/kmj/1341401055

学科分类：数学（综合）

来源: Tokyo Institute of Technology, Department of Mathematics

【 摘 要 】

References(8)We consider the dynamics of polynomial skew products that are semiconjugate to some polynomial products on C2. We show that the fiberwise Green functions exist outside thin sets, whose upper semicontinuous regularizations are defined, continuous and plurisubharmonic on C2. This result is obtained from the existence of Green functions of polynomials outside thin sets.

【 授权许可】

Unknown