On the complexification of real-analytic polynomial mappings of ℝ²

@article{EwaLigocka2006,
abstract = {We give a simple algebraic condition on the leading homogeneous term of a polynomial mapping from ℝ² into ℝ² which is equivalent to the fact that the complexification of this mapping can be extended to a polynomial endomorphism of ℂℙ². We also prove that this extension acts on ℂℙ²∖ℂ² as a quotient of finite Blaschke products.},
author = {Ewa Ligocka},
journal = {Annales Polonici Mathematici},
keywords = {polynomial mapping; quasiregular mapping; complexification},
language = {eng},
number = {2},
pages = {119-125},
title = {On the complexification of real-analytic polynomial mappings of ℝ²},
url = {http://eudml.org/doc/280891},
volume = {88},
year = {2006},
}

TY - JOUR
AU - Ewa Ligocka
TI - On the complexification of real-analytic polynomial mappings of ℝ²
JO - Annales Polonici Mathematici
PY - 2006
VL - 88
IS - 2
SP - 119
EP - 125
AB - We give a simple algebraic condition on the leading homogeneous term of a polynomial mapping from ℝ² into ℝ² which is equivalent to the fact that the complexification of this mapping can be extended to a polynomial endomorphism of ℂℙ². We also prove that this extension acts on ℂℙ²∖ℂ² as a quotient of finite Blaschke products.
LA - eng
KW - polynomial mapping; quasiregular mapping; complexification
UR - http://eudml.org/doc/280891
ER -