We give the formula expressing the Łojasiewicz exponent near the fibre of polynomial mappings in two variables in terms of the Puiseux expansions at infinity of the fibre.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-ap94-1-4, author = {Ha Huy Vui and Nguyen Hong Duc}, title = {On the \L ojasiewicz exponent near the fibre of polynomial mappings}, journal = {Annales Polonici Mathematici}, volume = {93}, year = {2008}, pages = {43-52}, zbl = {1140.14324}, language = {en}, url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-ap94-1-4} }
Ha Huy Vui; Nguyen Hong Duc. On the Łojasiewicz exponent near the fibre of polynomial mappings. Annales Polonici Mathematici, Tome 93 (2008) pp. 43-52. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-ap94-1-4/