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.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-ap78-1-6, author = {Arkadiusz P\l oski}, title = {Polar quotients and singularities at infinity of polynomials in two complex variables}, journal = {Annales Polonici Mathematici}, volume = {79}, year = {2002}, pages = {49-58}, zbl = {0998.32016}, language = {en}, url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-ap78-1-6} }
Arkadiusz Płoski. Polar quotients and singularities at infinity of polynomials in two complex variables. Annales Polonici Mathematici, Tome 79 (2002) pp. 49-58. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-ap78-1-6/