On the extendability of quadratic polynomial mappings of the plane

Ewa Ligocka. "On the extendability of quadratic polynomial mappings of the plane." Annales Polonici Mathematici 96.3 (2009): 283-294. <http://eudml.org/doc/280827>.

@article{EwaLigocka2009,
abstract = {We shall prove, using the result from our previous paper [Ann. Polon. Math. 88 (2006)], that for a quadratic polynomial mapping Q of ℝ² only the geometric shape of the critical set of Q determines whether the complexification of Q can be extended to an endomorphism of ℂℙ². At the end of the paper we describe some interesting classes of quadratic polynomial mappings of ℝ² and give some examples.},
author = {Ewa Ligocka},
journal = {Annales Polonici Mathematici},
keywords = {quadratic polynomial mapping; complexification; extendable mapping},
language = {eng},
number = {3},
pages = {283-294},
title = {On the extendability of quadratic polynomial mappings of the plane},
url = {http://eudml.org/doc/280827},
volume = {96},
year = {2009},
}

TY - JOUR
AU - Ewa Ligocka
TI - On the extendability of quadratic polynomial mappings of the plane
JO - Annales Polonici Mathematici
PY - 2009
VL - 96
IS - 3
SP - 283
EP - 294
AB - We shall prove, using the result from our previous paper [Ann. Polon. Math. 88 (2006)], that for a quadratic polynomial mapping Q of ℝ² only the geometric shape of the critical set of Q determines whether the complexification of Q can be extended to an endomorphism of ℂℙ². At the end of the paper we describe some interesting classes of quadratic polynomial mappings of ℝ² and give some examples.
LA - eng
KW - quadratic polynomial mapping; complexification; extendable mapping
UR - http://eudml.org/doc/280827
ER -