On the Łojasiewicz Exponent near the Fibre of a Polynomial

Volume 52 / 2004

Grzegorz Skalski Bulletin Polish Acad. Sci. Math. 52 (2004), 231-236 MSC: 14E05, 14R25. DOI: 10.4064/ba52-3-3

Abstract

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.

Authors

  • Grzegorz SkalskiFaculty of Mathematics
    University of Łódź
    S. Banacha 22
    90-238 Łódź, Poland
    e-mail

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