Kodai Mathematical Journal

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

Kohei Ueno

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Abstract

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.

Article information

Source
Kodai Math. J., Volume 35, Number 2 (2012), 345-357.

Dates
First available in Project Euclid: 4 July 2012

Permanent link to this document
https://projecteuclid.org/euclid.kmj/1341401055

Digital Object Identifier
doi:10.2996/kmj/1341401055

Mathematical Reviews number (MathSciNet)
MR2951261

Zentralblatt MATH identifier
1247.32019

Citation

Ueno, Kohei. Fiberwise Green functions of skew products semiconjugate to some polynomial products on C 2. Kodai Math. J. 35 (2012), no. 2, 345--357. doi:10.2996/kmj/1341401055. https://projecteuclid.org/euclid.kmj/1341401055


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