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Algebraic Curves
edit- Algebraic curve
- List of curves
- Abelian integral
- Abelian variety
- Abel–Jacobi map
- Abhyankar's conjecture
- Acnode
- Ampersand curve
- Bean curve
- Belyi's theorem
- Bézout's theorem
- Bicorn
- Bicuspid curve
- Bifolium
- Bitangent
- Bitangents of a quartic
- Bow curve
- Bullet-nose curve
- Cartesian oval
- Cassini oval
- Cayley–Bacharach theorem
- Chiral Potts curve
- Cissoid of Diocles
- Classical modular curve
- Clifford's theorem on special divisors
- Coble curve
- Compact Riemann surface
- Conchoid of Dürer
- Conchoid of de Sluze
- Conic section
- Cramer's paradox
- Cruciform curve
- Crunode
- Cubic plane curve
- Cusp (singularity)
- De Franchis theorem
- Degree-genus formula
- Delta invariant
- Deltoid curve
- Division polynomials
- ELSV formula
- Elkies trinomial curves
- Epicycloid
- Faltings' theorem
- Fermat curve
- Folium of Descartes
- Genus (mathematics)
- Global field
- Gonality of an algebraic curve
- Goppa code
- Hasse's theorem on elliptic curves
- Hasse–Witt matrix
- Hilbert's twenty-first problem
- Hippopede
- Hodge bundle
- Hurwitz's automorphisms theorem
- Hyperelliptic curve
- Imaginary hyperelliptic curve
- Jacobian variety
- Klein quartic
- Lemniscate of Bernoulli
- Lemniscate of Gerono
- Limaçon
- Limaçon trisectrix
- Mazur's torsion theorem
- Modular curve
- Modularity theorem
- Mordell curve
- Nagata's conjecture on curves
- Plücker formula
- Polar curve
- Polynomial lemniscate
- Projective line
- Prym variety
- Puiseux series
- Quartic plane curve
- Rational normal curve
- Real plane curve
- Ribet's theorem
- Riemann–Hurwitz formula
- Riemann–Roch theorem
- Schottky problem
- Sectrix of Maclaurin
- Singular point of a curve
- Sinusoidal spiral
- Special divisor
- Spiric section
- Squircle
- Stable curve
- Superegg
- Superellipse
- Symmetric product of an algebraic curve
- Tacnode
- Theta characteristic
- Theta-divisor
- Three-leaved clover
- Torelli theorem
- Toric section
- Trident curve
- Twisted cubic
- Vector bundles on algebraic curves
- Weber's theorem
- Weierstrass point
- Weierstrass's elliptic functions
- Weil reciprocity law
- Zariski geometry
- Astroid
- Atriphtaloid
- Nephroid
- Quadrifolium
- Watt's curve
- Villarceau circles