extra-algebraic

  • 1Algebraic geometry — This Togliatti surface is an algebraic surface of degree five. Algebraic geometry is a branch of mathematics which combines techniques of abstract algebra, especially commutative algebra, with the language and the problems of geometry. It… …

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  • 2Algebraic structure — In algebra, a branch of pure mathematics, an algebraic structure consists of one or more sets closed under one or more operations, satisfying some axioms. Abstract algebra is primarily the study of algebraic structures and their properties. The… …

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  • 3Algebraic stack — In algebraic geometry, an algebraic stack is a concept introduced to generalize algebraic varieties, schemes, and algebraic spaces. They were originally proposed in a 1969 paper[1] by Pierre Deligne and David Mumford to define the (fine) moduli… …

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  • 4Algebraic set — In mathematics, an algebraic set over a field K is the set of solutions in K n ( n tuples of elements of K ) of a set of simultaneous equations: P 1( X 1, ..., X n ) = 0: P 2( X 1, ..., X n ) = 0and so on up to: P m ( X 1, ..., X n ) = 0for some… …

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  • 5Algebraic topology (object) — In mathematics, the algebraic topology on the set of group representations from G to a topological group H is the topology of pointwise convergence, i.e. pi converges to p if the limit of pi ( g ) = p ( g ) for every g in G .This terminology is… …

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  • 6transcendental — a. 1. Supereminent, transcendent, pre eminent, surpassing, supreme, consummate. 2. (Colloq.) Obscure, dark, vague, indefinite, speculative, mystic, mystical, fantastic, filmy, thin, abstruse, indistinct, rarefied, attenuated, unreal, intangible,… …

    New dictionary of synonyms

  • 7Enriques–Kodaira classification — In mathematics, the Enriques–Kodaira classification is a classification of compact complex surfaces into ten classes. For each of these classes, the surfaces in the class can be parametrized by a moduli space. For most of the classes the moduli… …

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  • 8Enriques-Kodaira classification — In mathematics, the Enriques Kodaira classification is a classification of compact complex surfaces. For complex projective surfaces it was done by Federigo Enriques, and Kunihiko Kodaira later extended it to non algebraic compact surfaces. It… …

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  • 9Glossary of arithmetic and Diophantine geometry — This is a glossary of arithmetic and Diophantine geometry in mathematics, areas growing out of the traditional study of Diophantine equations to encompass large parts of number theory and algebraic geometry. Much of the theory is in the form of… …

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  • 10Geometría algebraica — La geometría algebraica es una rama de la matemática que, como sugiere su nombre, combina el álgebra abstracta, especialmente el álgebra conmutativa, con la geometría. Se puede comprender como el estudio de los conjuntos de soluciones de los… …

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