Gorenstein scheme

locally Noetherian scheme whose local rings at each point is a Gorenstein local ring (i.e. a local ring with finite injective dimension as a module over itself)
Intangible mathematical_concept Q25304340
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Gorenstein scheme

Summary

Gorenstein scheme is a mathematical concept[1]. It draws 3 Wikipedia views per month (mathematical_concept category, ranking #256 of 1,007).[2]

Key Facts

  • Gorenstein scheme's instance of is recorded as mathematical concept[3].
  • Gorenstein scheme's subclass of is recorded as scheme[4].
  • Gorenstein scheme's defining formula is recorded as \forall x\in X\colon\operatorname{id}{\mathcal O{X,x}} \mathcal O_{X,x} < \infty<sup id="cite-C3" class="cite-ref" title="Gorenstein scheme — defining formula (P2534): \forall x\in X\colon\operatorname{id}{\mathcal O{X,x}} \mathcal O_{X,x} < \infty">[5].
  • Gorenstein scheme's Google Knowledge Graph ID is recorded as /g/11bwdl674z[6].
  • Gorenstein scheme's maintained by WikiProject is recorded as WikiProject Mathematics[7].

Why It Matters

Gorenstein scheme draws 3 Wikipedia views per month (mathematical_concept category, ranking #256 of 1,007).[2]

📑 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). Gorenstein scheme. Retrieved May 3, 2026, from https://4ort.xyz/entity/gorenstein-scheme
MLA “Gorenstein scheme.” 4ort.xyz Knowledge Graph, 4ort.xyz, 3 May. 2026, https://4ort.xyz/entity/gorenstein-scheme.
BibTeX @misc{4ortxyz_gorenstein-scheme_2026, author = {{4ort.xyz Knowledge Graph}}, title = {{Gorenstein scheme}}, year = {2026}, url = {https://4ort.xyz/entity/gorenstein-scheme}, note = {Accessed: 2026-05-03}}
LLM prompt According to 4ort.xyz Knowledge Graph (aggregator of Wikidata, Wikipedia, and authoritative open-data sources): Gorenstein scheme — https://4ort.xyz/entity/gorenstein-scheme (retrieved 2026-05-03)

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