Polar quotients and singularities at infinity of polynomials in two complex variables

Arkadiusz Płoski. "Polar quotients and singularities at infinity of polynomials in two complex variables." Annales Polonici Mathematici 78.1 (2002): 49-58. <http://eudml.org/doc/280498>.

@article{ArkadiuszPłoski2002,
abstract = {Using the notion of the maximal polar quotient we characterize the critical values at infinity of polynomials in two complex variables. As an application we give a necessary and sufficient condition for a family of affine plane curves to be equisingular at infinity.},
author = {Arkadiusz Płoski},
journal = {Annales Polonici Mathematici},
keywords = {singularities at infinity; polar quotients; equisingularity at infinity; critical values at infinity},
language = {eng},
number = {1},
pages = {49-58},
title = {Polar quotients and singularities at infinity of polynomials in two complex variables},
url = {http://eudml.org/doc/280498},
volume = {78},
year = {2002},
}

TY - JOUR
AU - Arkadiusz Płoski
TI - Polar quotients and singularities at infinity of polynomials in two complex variables
JO - Annales Polonici Mathematici
PY - 2002
VL - 78
IS - 1
SP - 49
EP - 58
AB - Using the notion of the maximal polar quotient we characterize the critical values at infinity of polynomials in two complex variables. As an application we give a necessary and sufficient condition for a family of affine plane curves to be equisingular at infinity.
LA - eng
KW - singularities at infinity; polar quotients; equisingularity at infinity; critical values at infinity
UR - http://eudml.org/doc/280498
ER -