toric
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English
Etymology
Pronunciation
- (Received Pronunciation) IPA(key): /tɒɹɪk/, /tɔːɹɪk/
- (General American) IPA(key): /tɔɹɪk/
- (New York City, Philadelphia) IPA(key): /tɑɹɪk/
- 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 and 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.
- (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
- (error correction) A particular topological quantum error correcting code; see Toric code on Wikipedia.Wikipedia
- (geometry and algebra) Which, in any of several technical senses, admits a high degree of symmetry, allowing combinatorial methods to be used in its study.
Derived terms
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Translations