algebraic torus
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Algebraic torus — In mathematics, an algebraic torus is a type of commutative affine algebraic group. These groups were named by analogy with the theory of tori in Lie group theory (see maximal torus). The theory of tori is in some sense opposite to that of… … Wikipedia
Torus (disambiguation) — Torus or tori may refer to:In mathematics:* Torus a surface * Torus knot * Algebraic torus * Double torus * Umbilic torusIn medicine:* Torus palatinus a bony growth on the palate * Torus mandibularis a bony growth on the mandible * Torus fracture … Wikipedia
Torus — Not to be confused with Taurus (disambiguation). This article is about the surface and mathematical concept of a torus. For other uses, see Torus (disambiguation). A torus As the distance to th … Wikipedia
Torus-based cryptography — involves using algebraic tori to construct a group for use in ciphers based on the discrete logarithm problem. This idea was first introduced by Alice Silverberg and Karl Rubin in 2003 in the form of a public key algorithm by the name of CEILIDH … Wikipedia
algebraic geometry — Math. the study of sets that are defined by algebraic equations. [1895 1900] * * * Study of geometric objects expressed as equations and represented by graphs in a given coordinate system. In contrast to Euclidean geometry, algebraic geometry… … Universalium
List of algebraic geometry topics — This is a list of algebraic geometry topics, by Wikipedia page. Contents 1 Classical topics in projective geometry 2 Algebraic curves 3 Algebraic surfaces 4 … Wikipedia
Double torus knot — A double torus knot is a closed curve drawn on the surface called a double torus (think of the surface of two doughnuts stuck together). More technically, a double torus knot is the homeomorphic image of a circle in S³ which can be realized as a… … Wikipedia
Complex torus — In mathematics, a complex torus is a particular kind of complex manifold M whose underlying smooth manifold is a torus in the usual sense (i.e. the cartesian product of some number N circles). Here N must be the even number 2n, where n is the… … Wikipedia
Double torus — In mathematics, a double torus is a topological object formed by the connected sum of two torii. That is to say, from each of two torii the interior of a disk is removed, and the boundaries of the two disks are identified (glued together),… … Wikipedia
Toric variety — In algebraic geometry, a toric variety or torus embedding is a normal variety containing an algebraic torus as a dense subset, such that the action of the torus on itself extends to the whole variety. Contents 1 The toric variety of a fan 2… … Wikipedia
Mumford–Tate group — In algebraic geometry, the Mumford–Tate group MT(F) constructed from a Hodge structure F is a certain algebraic group G, named for David Mumford and John Tate. When F is given by a rational representation of an algebraic torus, the definition of… … Wikipedia
