The equivalence of the definitions of the Łojasiewicz exponent introduced by Ha and by Chądzyński and Krasiński is proved. Moreover we show that if the above exponents are less than -1 then they are attained at a curve meromorphic at infinity.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-ba52-3-3, author = {Grzegorz Skalski}, title = {On the \L ojasiewicz Exponent near the Fibre of a Polynomial}, journal = {Bulletin of the Polish Academy of Sciences. Mathematics}, volume = {52}, year = {2004}, pages = {231-236}, zbl = {1100.14531}, language = {en}, url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-ba52-3-3} }
Grzegorz Skalski. On the Łojasiewicz Exponent near the Fibre of a Polynomial. Bulletin of the Polish Academy of Sciences. Mathematics, Tome 52 (2004) pp. 231-236. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-ba52-3-3/