On the Łojasiewicz Exponent near the Fibre of a Polynomial

Grzegorz Skalski
2004 Bulletin of the Polish Academy of Sciences Mathematics  
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.
doi:10.4064/ba52-3-3 fatcat:sbcpov6jk5ccjfvaaa6baufumu