Category:Algebraic curves

C

• Conic sections (2 C, 50 P, 1 F)
• Cubic curves (1 C, 12 P)

E

• Elliptic curves (1 C, 52 P)

Q

• Quartic curves (34 P)

R

• Riemann surfaces (3 C, 54 P)

S

• Sextic curves (9 P)

T

• Toric sections (1 C, 3 P)

• Algebraic curve
• Kempe's universality theorem

*

• List of curves

A

• Abel–Jacobi map
• Abelian integral
• Abelian variety
• Abhyankar's conjecture
• Acnode
• Algebraic geometry code
• Algebraic stack
• Artin–Schreier curve

B

• Belyi's theorem
• Bifolium
• Bitangent
• Brill–Noether theory
• Bring's curve

C

• Castelnuovo curve
• Cayley–Bacharach theorem
• Chasles–Cayley–Brill formula
• Chiral Potts curve
• Cissoid
• Classical modular curve
• Clifford's theorem on special divisors
• Conic section
• Cramer's paradox
• Crunode
• Cusp (singularity)

D

• De Franchis theorem
• Division polynomials

E

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

F

• Fermat curve

G

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

H

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

I

• Imaginary hyperelliptic curve

J

• Jacobian variety

L

• Lambda g conjecture
• Lange's conjecture

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

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
• Spherical conic
• Stable curve
• Sum of residues formula
• Superegg
• Superelliptic curve
• Symmetric product of an algebraic curve

T

• Tacnode
• Theta characteristic
• Theta divisor
• Torelli theorem
• Twisted cubic

V

• Vector bundles on algebraic curves

W

• Weber's theorem (Algebraic curves)
• Weierstrass elliptic function
• Weierstrass point
• Weil reciprocity law

Z

• Zariski geometry