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Local Properties of Plane Curves

  • Eduardo Casas-Alvero
Chapter
Part of the Universitext book series (UTX)

Abstract

Let f ∈ C[x, y]. Our first aim in this chapter is to find some sort of power series s = s(x), in the variable x, such that f(x, s(x)) is identically zero in x; in other words s is a root of f viewed as a polynomial in y with coefficients in C[x].

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Copyright information

© Springer Nature Switzerland AG 2019

Authors and Affiliations

  • Eduardo Casas-Alvero
    • 1
  1. 1.Matemàtiques i InformàticaUniversitat de BarcelonaBarcelonaSpain

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