Holomorphic maps on with attracting hypersurfaces and pluricomplex Green functions for their repellers

The conditions under which a holomorphic endomorphism of a complex projective space has an attracting hypersurface are given. These are formulated in terms of estimates for plurisubharmonic exhaustions on the complement of the hypersurface, and estimates for pluricomplex Green functions of relativel...

Full description

Saved in:
Bibliographic Details
Published inComplex variables and elliptic equations Vol. 51; no. 7; pp. 675 - 681
Main Author Stawiska, MaŁgorzata
Format Journal Article
LanguageEnglish
Published Taylor & Francis Group 01.07.2006
Subjects
1991 Mathematics Subject Classifications: Primary: 32U10
Attractors
Pluricomplex Green function
Plurisubharmonic exhaustion
Secondary: 32U35
Online AccessGet full text
ISSN1747-6933
1747-6941
DOI10.1080/17476930600709189

Cover

More Information
Summary:The conditions under which a holomorphic endomorphism of a complex projective space has an attracting hypersurface are given. These are formulated in terms of estimates for plurisubharmonic exhaustions on the complement of the hypersurface, and estimates for pluricomplex Green functions of relatively compact sets. These conditions are applied to prove results about convergence of pluricomplex Green functions. †To the memory of Yue Lin Lawrence Tong.
ISSN:1747-6933
1747-6941
DOI:10.1080/17476930600709189