toric Meaning & Definition

What Does Toric Mean?

As an adjective, toric means Pertaining to or shaped like a torus, or a section of a torus; toroidal. Which, in any of several technical senses, admits a high degree of symmetry, allowing combinatorial methods to be used in its study. Containing an algebraic torus as a dense subset, such that the group action of the torus on itself extends to the whole space; or, the embedding map taking the torus into the space. See Toric variety on Wikipedia.Wikipedia (Narrowly) A compact smooth toric variety. (Broadly) Quasitoric: a closed, real, even-dimensional smooth manifold equipped with an effective, smooth action by an algebraic torus whose orbits are simple complex polytopes and such that the action is locally the same as a faithful real representation of the group. Any of several generalizations of the notion of toric varieties to stacks: the stack quotient of a toric variety by its torus; the stack quotient of a toric variety by a subgroup of its torus. Generated by differences of monomials. A particular topological quantum error correcting code; see Toric code on Wikipedia.Wikipedia. It can also mean Which, in any of several technical senses, admits a high degree of symmetry, allowing combinatorial methods to be used in its study. Containing an algebraic torus as a dense subset, such that the group action of the torus on itself extends to the whole space; or, the embedding map taking the torus into the space. See Toric variety on Wikipedia.Wikipedia (Narrowly) A compact smooth toric variety. (Broadly) Quasitoric: a closed, real, even-dimensional smooth manifold equipped with an effective, smooth action by an algebraic torus whose orbits are simple complex polytopes and such that the action is locally the same as a faithful real representation of the group. Any of several generalizations of the notion of toric varieties to stacks: the stack quotient of a toric variety by its torus; the stack quotient of a toric variety by a subgroup of its torus. Generated by differences of monomials.