toric

== English == === Etymology === From torus +‎ -ic. === Pronunciation === (Received Pronunciation) IPA(key): /ˈtɒɹɪk/, /ˈtɔːɹɪk/ (General American) IPA(key): /ˈtɔɹɪk/ (New York City, Philadelphia) IPA(key): /ˈtɑɹɪk/ Rhymes: -ɒɹɪk, -ɔːɹɪk === Adjective === toric (comparative more toric, superlative most toric) Pertaining to or shaped like a torus, or a section of a torus; toroidal. (geometry, algebra) Which, in any of several technical senses, admits a high degree of symmetry, allowing combinatorial methods to be used in its study. (algebraic geometry, of a variety) 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 (geometry, of a manifold, generalizing the case of toric varieties) (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. (algebraic geometry, of a stack) 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. (commutative algebra, of an ideal) Generated by differences of monomials. (error correction) A particular topological quantum error correcting code; see Toric code on Wikipedia.Wikipedia ==== Derived terms ==== toricity ==== Translations ==== === Anagrams === Citro, Troic