Projective Curves

  • David M. Goldschmidt
Part of the Graduate Texts in Mathematics book series (GTM, volume 215)


In this chapter we make contact with the classical theory of algebraic curves in projective space. For simplicity we will assume throughout this chapter that the ground field k is algebraically closed. Since we do not have at our disposal the machinery of algebraic geometry, our treatment here is necessarily somewhat ad hoc. The preferred approach to this subject is via the theory of schemes and varieties.


Local Parameter Function Field Projective Variety Plane Curve Valuation Ring 
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Copyright information

© Springer-Verlag New York, Inc. 2003

Authors and Affiliations

  • David M. Goldschmidt
    • 1
  1. 1.IDA Center for Communications Research—PrincetonPrincetionUSA

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