List of Algebraic Geometry Topics - Algebraic Curves

Algebraic Curves

  • Conics, Pascal's theorem, Brianchon's theorem
  • Twisted cubic
  • Elliptic curve, cubic curve
    • Elliptic function, Jacobi's elliptic functions, Weierstrass's elliptic functions
    • Elliptic integral
    • Complex multiplication
    • Weil pairing
  • Hyperelliptic curve
  • Klein quartic
  • modular curve
    • modular equation
    • modular function
    • modular group
    • Supersingular primes
  • Fermat curve
  • Bézout's theorem
  • Brill–Noether theory
  • Edwards curve
  • Genus (mathematics)
  • Riemann surface
  • Riemann–Hurwitz formula
  • Riemann–Roch theorem
  • Abelian integral
  • Differential of the first kind
  • Jacobian variety
    • Generalized Jacobian
  • Hurwitz's automorphisms theorem
  • Clifford's theorem
  • Gonality of an algebraic curve
  • Weil's reciprocity law
  • Goppa code

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