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abstract variety

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  • Abstract variety — In mathematics, in the field of algebraic geometry, the idea of abstract variety is to define a concept of algebraic variety in an intrinsic way. This followed the trend in the definition of manifold independent of any ambient space (Hassler… …   Wikipedia

  • abstract expressionism — abstract expressionist. (sometimes caps.) a movement in experimental, nonrepresentational painting originating in the U.S. in the 1940s, with sources in earlier movements, and embracing many individual styles marked in common by freedom of… …   Universalium

  • Abstract analytic number theory — is a branch of mathematics which takes the ideas and techniques of classical analytic number theory and applies them to a variety of different mathematical fields. The classical prime number theorem serves as a prototypical example, and the… …   Wikipedia

  • Abstract algebraic variety — In algebraic geometry, an abstract algebraic variety is an algebraic variety that is defined intrinsically, that is, without an embedding into another variety.In classical algebraic geometry, all varieties were by definition quasiprojective… …   Wikipedia

  • Abstract algebraic logic — In mathematical logic, abstract algebraic logic (AAL) studies the ways in which classes of algebras may be associated with logical systems, and how these classes of algebras interact with logical systems.OverviewThe archetypal association of this …   Wikipedia

  • Abstract art — Kazimir Malevich, Black Square, c. 1913 Abstract art uses a visual language of form, color and line to create a composition which may exist with a degree of independence from visual references in the world.[1] Western art had been, from the… …   Wikipedia

  • abstract — 01. I don t really like [abstract] art, such as that done by Picasso. I much prefer something more realist. 02. It can be quite difficult to really define [abstract] ideas, such as love or friendship. 03. One s capacity for [abstract] thinking is …   Grammatical examples in English

  • Abelian variety — In mathematics, particularly in algebraic geometry, complex analysis and number theory, an Abelian variety is a projective algebraic variety that is at the same time an algebraic group, i.e., has a group law that can be defined by regular… …   Wikipedia

  • List of abstract algebra topics — Abstract algebra is the subject area of mathematics that studies algebraic structures, such as groups, rings, fields, modules, vector spaces, and algebras. The phrase abstract algebra was coined at the turn of the 20th century to distinguish this …   Wikipedia

  • Algebraic variety — This article is about algebraic varieties. For the term a variety of algebras , and an explanation of the difference between a variety of algebras and an algebraic variety, see variety (universal algebra). The twisted cubic is a projective… …   Wikipedia

  • Shimura variety — In mathematics, a Shimura variety is an analogue of a modular curve, and is (roughly) a quotient of an Hermitian symmetric space by a congruence subgroup of an algebraic group. The simplest example is the quotient of the upper half plane by SL… …   Wikipedia

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