Standard Lemma guide
Definitions and examples are grouped by meaning. Pronunciation, history, word forms, translations, descendants, synonyms, antonyms, derived terms, and related words appear whenever the source provides them.
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adj
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.
Definition source: English Wiktionary via Wiktextract
Topics: algebra, geometry, mathematics, sciences
No example sentence was provided for this meaning.
Synonyms: none provided
Antonyms: none provided
adj
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
Definition source: English Wiktionary via Wiktextract
Topics: algebra, algebraic-geometry, geometry, mathematics, sciences
No example sentence was provided for this meaning.
Synonyms: none provided
Antonyms: none provided
adj
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.
(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.
Definition source: English Wiktionary via Wiktextract
Qualifier: generalizing the case of toric varieties
Topics: algebra, geometry, mathematics, sciences
No example sentence was provided for this meaning.
Synonyms: none provided
Antonyms: none provided
adj
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.
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.
Definition source: English Wiktionary via Wiktextract
Topics: algebra, algebraic-geometry, geometry, mathematics, sciences
No example sentence was provided for this meaning.
Synonyms: none provided
Antonyms: none provided
adj
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.
Generated by differences of monomials.
Definition source: English Wiktionary via Wiktextract
Qualifier: commutative algebra
Topics: algebra, geometry, mathematics, sciences
No example sentence was provided for this meaning.
Synonyms: none provided
Antonyms: none provided
adj
Pertaining to or shaped like a torus, or a section of a torus; toroidal.
A particular topological quantum error correcting code; see Toric code on Wikipedia.Wikipedia
Definition source: English Wiktionary via Wiktextract
Qualifier: error correction
No example sentence was provided for this meaning.
Synonyms: none provided
Antonyms: none provided
History
Etymology tree English torus Proto-Indo-European *-ikos Proto-Italic *-ikos Latin -icuslbor. Old French -iquebor. Middle English -ik English -ic English toric From torus + -ic.
Across languages
5 source translations are retained for this English entry.
