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Algebraic geometry

Table of contents

Algebraic curves

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Cubic curves

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Cissoid of Diocles

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Conchoid of de Sluze

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Cubic plane curve

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Folium of Descartes

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Semicubical parabola

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Trident curve

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Trisectrix of Maclaurin

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Tschirnhausen cubic

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Witch of Agnesi

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Riemann surfaces

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Kleinian groups

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Behnke–Stein theorem on Stein manifolds

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Bolza surface

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Cusp neighborhood

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Differential forms on a Riemann surface

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Fenchel–Nielsen coordinates

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First Hurwitz triplet

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Fuchsian group

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Fuchsian model

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Gauss–Bonnet theorem

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Hurwitz quaternion order

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Hurwitz surface

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Indigenous bundle

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Macbeath surface

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Mumford's compactness theorem

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Poincaré metric

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Prime form

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Prym differential

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Quillen determinant line bundle

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Riemann surface

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Schwarz–Ahlfors–Pick theorem

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Simultaneous uniformization theorem

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Spectral network

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Uniformization theorem

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Universal Teichmüller space

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Weil–Petersson metric

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Sextic curves

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Astroid

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Atriphtaloid

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Butterfly curve (algebraic)

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Cayley's sextic

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Coble curve

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Nephroid

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Quadrifolium

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Watt's curve

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Wiman's sextic

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Wirtinger sextic

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Toric sections

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Spiric sections

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Villarceau circles

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Abelian integral

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Abelian variety

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Abel–Jacobi map

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Acnode

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Algebraic curve

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Algebraic geometry code

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Artin–Schreier curve

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Belyi's theorem

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Bicorn

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Bifolium

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Bitangents of a quartic

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Brill–Noether theory

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Bring's curve

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Bullet-nose curve

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Cartesian oval

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Cassini oval

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Castelnuovo curve

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Chasles–Cayley–Brill formula

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Chiral Potts curve

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Cissoid

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Classical modular curve

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Conchoid of Dürer

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Crunode

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Cusp (singularity)

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De Franchis theorem

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Deltoid curve

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Enriques–Babbage theorem

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Epicycloid

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Fermat curve

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Generalized conic

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Genus–degree formula

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Hilbert's twenty-first problem

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Hippopede

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Hodge bundle

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Hyperelliptic curve

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Imaginary hyperelliptic curve

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Jacobian variety

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Kappa curve

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Kempe's universality theorem

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Klein quartic

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Lambda g conjecture

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Lange's conjecture

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Lemniscate of Bernoulli

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Limaçon

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Limaçon trisectrix

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List of curves

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Lüroth quartic

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Modular curve

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Algebraic geometry by

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