2005

Introduction to Plane Algebraic Curves

Authors:

ISBN: 978-0-8176-4381-2 (Print) 978-0-8176-4443-7 (Online)

Table of contents (17 chapters)

  1. Plane Algebraic Curves

    1. Front Matter

      Pages 1-1

    2. No Access

      Book Chapter

      Pages 3-12

      Ane Algebraic Curves

    3. No Access

      Book Chapter

      Pages 13-21

      Projective Algebraic Curves

    4. No Access

      Book Chapter

      Pages 23-29

      The Coordinate Ring of an Algebraic Curve and the Intersections of Two Curves

    5. No Access

      Book Chapter

      Pages 31-37

      Rational Functions on Algebraic Curves

    6. No Access

      Book Chapter

      Pages 39-49

      Intersection Multiplicity and Intersection Cycle of Two Curves

    7. No Access

      Book Chapter

      Pages 51-60

      Regular and Singular Points of Algebraic Curves. Tangents

    8. No Access

      Book Chapter

      Pages 61-72

      More on Intersection Theory. Applications

    9. No Access

      Book Chapter

      Pages 73-80

      Rational Maps. Parametric Representations of Curves

    10. No Access

      Book Chapter

      Pages 81-87

      Polars and Hessians of Algebraic Curves

    11. No Access

      Book Chapter

      Pages 89-97

      Elliptic Curves

    12. No Access

      Book Chapter

      Pages 99-115

      Residue Calculus

    13. No Access

      Book Chapter

      Pages 117-130

      Applications of Residue Theory to Curves

    14. No Access

      Book Chapter

      Pages 131-142

      The Riemann-Roch Theorem

    15. No Access

      Book Chapter

      Pages 143-148

      The Genus of an Algebraic Curve and of Its Function Field

    16. No Access

      Book Chapter

      Pages 149-160

      The Canonical Divisor Class

    17. No Access

      Book Chapter

      Pages 161-173

      The Branches of a Curve Singularity

    18. No Access

      Book Chapter

      Pages 175-185

      Conductor and Value Semigroup of a Curve Singularity