Kodai Mathematical Journal
- Kodai Math. J.
- Volume 35, Number 2 (2012), 345-357.
Fiberwise Green functions of skew products semiconjugate to some polynomial products on C2
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
