toric variety

algebraic variety containing an algebraic torus as an open dense subset, such that the action of the torus on itself extends to the whole variety, which can be combinatorially encoded via systems of cones (“fans”) or polytopes
Thing general Q1528306
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toric variety

Summary

toric variety ranks in the top 2% of general entities by monthly Wikipedia readership (71 views/month).[1]

Key Facts

  • torus is named after toric variety[2].
  • toric variety's subclass of is recorded as algebraic variety[3].
  • toric variety's Freebase ID is recorded as /m/0370lh[4].
  • toric variety's Google Knowledge Graph ID is recorded as /g/11b6ggsvnr[5].
  • toric variety's MathWorld ID is recorded as ToricVariety[6].
  • toric variety's nLab ID is recorded as toric variety[7].
  • toric variety's maintained by WikiProject is recorded as WikiProject Mathematics[8].
  • toric variety's Microsoft Academic ID is recorded as 5052557[9].
  • toric variety's OpenAlex ID is recorded as C5052557[10].

Why It Matters

toric variety ranks in the top 2% of general entities by monthly Wikipedia readership (71 views/month).[1] It has Wikipedia articles in 7 language editions, a strong signal of global cultural recognition.[11] It is known by 3 alternative names across languages and contexts.[12]

📑 Cite this page

Use these citations when quoting this entity in research, articles, AI prompts, or wherever provenance matters. We aggregate Wikidata + Wikipedia + authoritative open-data sources; the stitched, scored, cross-referenced view is what 4ort.xyz contributes.

APA 4ort.xyz Knowledge Graph. (2026). toric variety. Retrieved April 10, 2026, from https://4ort.xyz/entity/toric-variety
MLA “toric variety.” 4ort.xyz Knowledge Graph, 4ort.xyz, 10 Apr. 2026, https://4ort.xyz/entity/toric-variety.
BibTeX @misc{4ortxyz_toric-variety_2026, author = {{4ort.xyz Knowledge Graph}}, title = {{toric variety}}, year = {2026}, url = {https://4ort.xyz/entity/toric-variety}, note = {Accessed: 2026-04-10}}
LLM prompt According to 4ort.xyz Knowledge Graph (aggregator of Wikidata, Wikipedia, and authoritative open-data sources): toric variety — https://4ort.xyz/entity/toric-variety (retrieved 2026-04-10)

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