Category:Algebraic curves

• Algebraic curve
• Kempe's universality theorem

*

• List of curves

A

• Abel–Jacobi map
• Abelian integral
• Abelian variety
• Abhyankar's conjecture
• Acnode
• Ampersand curve
• Artin–Schreier curve

B

• Bean curve
• Belyi's theorem
• Bicorn
• Bicuspid curve
• Bifolium
• Bitangent
• Bitangents of a quartic
• Bow curve
• Brill–Noether theory
• Bring's curve
• Bullet-nose curve
• Butterfly curve (algebraic)

C

• Cartesian oval
• Cassini oval
• Castelnuovo curve
• Cayley–Bacharach theorem
• Chasles–Cayley–Brill formula
• Chiral Potts curve
• Cissoid of Diocles
• Classical modular curve
• Clifford's theorem on special divisors
• Conchoid of de Sluze
• Conchoid of Dürer
• Conic section
• Cramer's paradox
• Cruciform curve
• Crunode
• Cubic plane curve
• Cusp (singularity)

D

• De Franchis theorem
• Delta invariant
• Deltoid curve
• Division polynomials

E

• Elkies trinomial curves
• Ellipse
• ELSV formula
• Enriques–Babbage theorem
• Epicycloid

F

• Fermat curve
• Folium of Descartes

G

• Generalized conic
• Generalized Jacobian
• Genus (mathematics)
• Genus–degree formula
• Global field
• Gonality of an algebraic curve
• Goppa code

H

• Hasse–Witt matrix
• Hilbert's twenty-first problem
• Hippopede
• Hodge bundle
• Hyperbola
• Hyperelliptic curve

I

• Imaginary hyperelliptic curve

J

• Jacobian variety

K

• Klein quartic

L

• Lambda g conjecture
• Lange's conjecture
• Lemniscate of Bernoulli
• Lemniscate of Gerono
• Limaçon
• Limaçon trisectrix
• Lüroth quartic

M

• Modular curve
• Modularity theorem
• Moment curve
• Mordell curve
• Mumford measure

N

• N-ellipse
• Nagata's conjecture on curves
• Normal degree

O

• Ordinary singularity

P

• Parabola
• Plücker formula
• Polar curve
• Polynomial lemniscate
• Projective line
• Prym variety
• Puiseux series

Q

• Quartic plane curve

R

• Rational normal curve
• Real hyperelliptic curve
• Real plane curve
• Reiss relation
• Ribet's theorem
• Riemann–Hurwitz formula

S

• S-equivalence
• Schottky problem
• Sectrix of Maclaurin
• Singular point of a curve
• Sinusoidal spiral
• Smooth completion
• Spiric section
• Squircle
• Stable curve
• Superegg
• Superelliptic curve
• Symmetric product of an algebraic curve

T

• Tacnode
• Theta characteristic
• Theta divisor
• Three-leaved clover
• Torelli theorem
• Toric section
• Trident curve
• Twisted cubic

V

• Vector bundles on algebraic curves

W

• Weber's theorem
• Weierstrass point
• Weierstrass's elliptic functions
• Weil reciprocity law
• Witch of Agnesi

Z

• Zariski geometry