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Algebraic curves

Table of contents

Cubic curves

Cissoid of Diocles

Conchoid of de Sluze

Cubic plane curve

Folium of Descartes

Semicubical parabola

Trident curve

Trisectrix of Maclaurin

Tschirnhausen cubic

Witch of Agnesi

Riemann surfaces

Kleinian groups

Behnke–Stein theorem on Stein manifolds

Bolza surface

Cusp neighborhood

Differential forms on a Riemann surface

Fenchel–Nielsen coordinates

First Hurwitz triplet

Fuchsian group

Fuchsian model

Gauss–Bonnet theorem

Hurwitz quaternion order

Hurwitz surface

Indigenous bundle

Macbeath surface

Mumford's compactness theorem

Poincaré metric

Prime form

Prym differential

Quillen determinant line bundle

Riemann surface

Schwarz–Ahlfors–Pick theorem

Simultaneous uniformization theorem

Spectral network

Uniformization theorem

Universal Teichmüller space

Weil–Petersson metric

Sextic curves

Astroid

Atriphtaloid

Butterfly curve (algebraic)

Cayley's sextic

Coble curve

Nephroid

Quadrifolium

Watt's curve

Wiman's sextic

Wirtinger sextic

Toric sections

Spiric sections

Villarceau circles

Abelian integral

Abelian variety

Abel–Jacobi map

Acnode

Algebraic curve

Algebraic geometry code

Artin–Schreier curve

Belyi's theorem

Bicorn

Bifolium

Bitangents of a quartic

Brill–Noether theory

Bring's curve

Bullet-nose curve

Cartesian oval

Cassini oval

Castelnuovo curve

Chasles–Cayley–Brill formula

Chiral Potts curve

Cissoid

Classical modular curve

Conchoid of Dürer

Crunode

Cusp (singularity)

De Franchis theorem

Deltoid curve

Enriques–Babbage theorem

Epicycloid

Fermat curve

Generalized conic

Genus–degree formula

Hilbert's twenty-first problem

Hippopede

Hodge bundle

Hyperelliptic curve

Imaginary hyperelliptic curve

Jacobian variety

Kappa curve

Kempe's universality theorem

Klein quartic

Lambda g conjecture

Lange's conjecture

Lemniscate of Bernoulli

Limaçon

Limaçon trisectrix

List of curves

Lüroth quartic

Modular curve

Moment curve

 Ancestors (4)

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