KnowraAlgebraic curveLinked fromLinked fromThe 11 pages that link to Algebraic curve, each with the reason it gives.All 11Related 3Narrower topic 8Elliptic curveNarrower topic: Elliptic curves are a particular kind of algebraic curve.Riemann surfaceRelated: A nonsingular complex algebraic curve naturally carries the structure of a compact Riemann surface.Riemann–Roch theoremNarrower topic: The theorem’s curve supplies the points and genus on which its divisor spaces are defined.Algebraic functionRelated: The equation defining a function also defines a curve whose projection encodes its branches.Riemann–Hurwitz formulaRelated: The formula transfers genus calculations to maps of smooth algebraic curves.Abel’s theoremNarrower topic: The theorem’s divisor criterion supports the study of functions and equivalence classes on curves.Belyi's theoremNarrower topic: The theorem concerns the smooth projective curves within this broader class.Cayley–Bacharach theoremNarrower topic: The theorem concerns how two such plane curves intersect.Clifford's theorem on special divisorsNarrower topic: The theorem belongs to the geometry of divisors on curves.Green's conjectureNarrower topic: The conjecture is formulated for smooth projective curves.Lüroth's theoremNarrower topic: The geometric interpretation recasts intermediate fields as function fields of curves.