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Algebraic variety
Algebraic variety This article is about algebraic varieties. For varieties of algebras, and an explanation of the difference, see variety (universal algebra). In mathematics, an algebraic variety is essentially a set of ...
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Talk:Algebraic variety
Talk:Algebraic variety Added links to the notions of stacks and algebraic spaces (further generalizing varieties), which are of ... books I have access to, an affine variety is simply the set of common zeros ... 07:14, 1 January 2006 (UTC) See algebraic set. You need irreducibility for the ...
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Complete algebraic variety
Complete algebraic variety In mathematics, in particular in algebraic geometry, a complete algebraic variety is an algebraic variety X, such ...
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Degree of an algebraic variety
Degree of an algebraic variety In mathematics, the degree of an algebraic variety is defined, for a projective variety V, by an elementary use of ...
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Dimension of an algebraic variety
Dimension of an algebraic variety In mathematics, the dimension of an algebraic variety V in algebraic geometry is defined, informally speaking, as ...
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Function field of an algebraic variety
Function field of an algebraic variety In algebraic geometry, the function field of an algebraic variety V is the field of fractions ...
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Singular point of an algebraic variety
Singular point of an algebraic variety In mathematics, a singular point of an algebraic variety V is a point P that is ... flat there. In the case of an algebraic curve, a plane curve that has ...
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Variety
Variety Variety (linguistics) is a concept that includes for instance dialects, standard language and jargon. Variety (biology) is a rank in botany below that of species. Variety (plant) is a legal term. Variety (philately) is a term in stamp ...
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Algebraic geometry
Algebraic geometry Algebraic geometry is a branch of mathematics which ... study of solution sets of systems of algebraic equations. When there is more than one ... technique. Zeroes of simultaneous polynomials In classical algebraic geometry, the main objects of interest are ... start with a field k. In classical algebraic geometry, this field was always |
Abelian variety
Abelian variety In mathematics, particularly in algebraic geometry, complex analysis and number theory, an abelian variety is a complex torus that can be ... the generalization of this concept studied in algebraic geometry over fields more general than the ... gave the first glimpse of an abelian variety of dimension 2 (an abelian surface): ...
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