Reference meaning

toric

adjective·Reference

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Which, in any of several technical senses, admits a high degree of symmetry, allowing combinatorial methods to be used in its study.

Other meanings

2. adjective

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

3. adjective

(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.

4. adjective

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.

Source and scope

This definition is reproduced from English Wiktionary, sense en-toric-en-adj-8QSfGF6l, under the CC BY-SA 4.0. It has not yet received VocabularyBase editorial review. Read the source and license details.