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
Read more about this topic: List Of Algebraic Geometry Topics
Famous quotes containing the words algebraic and/or curves:
“I have no scheme about it,no designs on men at all; and, if I had, my mode would be to tempt them with the fruit, and not with the manure. To what end do I lead a simple life at all, pray? That I may teach others to simplify their lives?and so all our lives be simplified merely, like an algebraic formula? Or not, rather, that I may make use of the ground I have cleared, to live more worthily and profitably?”
—Henry David Thoreau (18171862)
“One way to do it might be by making the scenery penetrate the automobile. A polished black sedan was a good subject, especially if parked at the intersection of a tree-bordered street and one of those heavyish spring skies whose bloated gray clouds and amoeba-shaped blotches of blue seem more physical than the reticent elms and effusive pavement. Now break the body of the car into separate curves and panels; then put it together in terms of reflections.”
—Vladimir Nabokov (18991977)