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Algebraic varieties
Summary Of: Algebraic varieties
Algebraic varieties are one of the central objects of study in classical... Algebraic varieties can be classed into four kinds...
Encyclodia Page On: Algebraic varieties
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variety (universal algebra)
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mathematics
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polynomial
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algebraic geometry
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manifold
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Romance languages
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cognates
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fundamental theorem of algebra
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polynomial
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complex numbers
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Hilbert's Nullstellensatz
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ideals
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polynomial rings
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affine space
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variety
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ring theory
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quasi-affine varieties
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quasi-projective varieties
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abstract algebraic variety
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algebraically closed field
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affine
n
-space
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algebraic set
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Zariski topology
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closed
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ideal
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projective
n
-space
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homogeneous polynomial
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homogeneous coordinates
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ideal
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if and only if
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prime ideal
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integral domain
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transcendence degree
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field of fractions
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algebraic geometry
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algebraically closed
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scheme
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locally ringed space
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spectrum of a ring
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structure sheaf
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sheaf
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polynomial algebras
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prime ideals
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integral domain
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nilradical
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complete variety
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curve
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Serre
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sheaf cohomology
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nilpotents
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categorical
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fiber products
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schemes
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Grothendieck
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stacks
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algebraic spaces
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isomorphic
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regular maps
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compositions
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identity maps
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Algebraic manifold
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manifold
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smooth
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singular points
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real numbers
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Nash manifolds
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Projective algebraic manifolds
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Riemann sphere
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function field
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dimension of an algebraic variety
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singular point of an algebraic variety
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birational geometry
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abelian variety
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motive
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scheme
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Robin Hartshorne
|
Springer-Verlag
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ISBN 0-387-90244-9
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David Cox
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Springer-Verlag
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ISBN 0-387-94680-2
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David Eisenbud
|
Springer-Verlag
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ISBN 0-387-94269-6
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ISBN 0-471-43334-9
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PlanetMath
|
GFDL
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Categories
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Algebraic geometry
|
Algebraic varieties
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This article is licensed under the
GNU Free Documentation License
. It uses material from the
Wikipedia article "Algebraic varieties"
.
