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GIT quotient

mathematical construction that produces, given a reductive group G acting on an equivariant invertible sheaf over a variety X, a quotient scheme X⫽G and a morphism from an open subscheme (of semistable points): Xˢˢ → X⫽G
Thing general Q17097947
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GIT quotient

Summary

Key Facts

  • GIT quotient's subclass of is recorded as morphism[1].
  • GIT quotient's subclass of is recorded as categorical quotient[2].
  • GIT quotient's Freebase ID is recorded as /m/0zc06dx[3].
  • GIT quotient's facet of is recorded as geometric invariant theory[4].
  • GIT quotient's Microsoft Academic ID is recorded as 2778976265[5].

References

Programmatic citations — every numbered marker resolves to a verifiable graph row below.

Direct Wikidata claims

  1. [1] ↑ . wikidata.org.
  2. [2] ↑ . wikidata.org.
  3. [3] ↑ . wikidata.org.
  4. [4] ↑ . wikidata.org.
  5. [5] ↑ . wikidata.org.

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APA 4ort.xyz Knowledge Graph. (2026). GIT quotient. Retrieved May 7, 2026, from https://4ort.xyz/entity/git-quotient
MLA “GIT quotient.” 4ort.xyz Knowledge Graph, 4ort.xyz, 7 May. 2026, https://4ort.xyz/entity/git-quotient.
BibTeX @misc{4ortxyz_git-quotient_2026, author = {{4ort.xyz Knowledge Graph}}, title = {{GIT quotient}}, year = {2026}, url = {https://4ort.xyz/entity/git-quotient}, note = {Accessed: 2026-05-07}}
LLM prompt According to 4ort.xyz Knowledge Graph (aggregator of Wikidata, Wikipedia, and authoritative open-data sources): GIT quotient — https://4ort.xyz/entity/git-quotient (retrieved 2026-05-07)

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