Applications to the Theory of Algebraic Curves

  • Harold M. Edwards


Let Q[x] denote the ring of polynomials in an indeterminate x with coefficients in the field Q of rational numbers. An algebraic function field in one variable over Q is an extension of Q[x] of finite degree. For short, such fields will be called function fields. Note that function fields are to Q[x] what algebraic number fields are to Z. Since Q[x] is a natural ring (§1.2), divisor theory applies* to function fields.


Function Field Algebraic Curve Great Common Divisor Irreducible Polynomial Natural Ring 
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Copyright information

© Springer Science+Business Media New York 1990

Authors and Affiliations

  • Harold M. Edwards
    • 1
  1. 1.Courant Institute of Mathematical SciencesNew York UniversityNew YorkUSA

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