coherent sheaf

finite-type sheaf F of modules over a ringed space such that the kernel of a surjective morphism from a finite direct sum of the structure sheaf onto it is also of finite type
Thing general Q906907
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coherent sheaf

Summary

coherent sheaf ranks in the top 2% of general entities by monthly Wikipedia readership (91 views/month).[1]

Key Facts

  • coherent sheaf is credited with the discovery of Henri Cartan[2].
  • coherent sheaf's subclass of is recorded as quasicoherent sheaf[3].
  • +1940-00-00T00:00:00Z marks the founding of coherent sheaf[4].
  • coherent sheaf's Freebase ID is recorded as /m/02vmcd[5].
  • coherent sheaf's defining formula is recorded as \left(\forall (U,n)\exists (\mathcal O^n_U \to \mathcal F \to 0)\right) \land \left(\forall(\mathcal O^n_U \xrightarrow\phi \mathcal F_U \to 0) \exists (\mathcal O^m_U \to \ker\phi \to 0)\right)[6].
  • coherent sheaf's studied by is recorded as sheaf theory[7].
  • coherent sheaf's nLab ID is recorded as coherent sheaf[8].
  • coherent sheaf's maintained by WikiProject is recorded as WikiProject Mathematics[9].
  • coherent sheaf's Microsoft Academic ID is recorded as 143161588[10].
  • coherent sheaf's Encyclopedia of Mathematics article ID is recorded as Coherent_sheaf[11].
  • coherent sheaf's PlanetMath ID is recorded as CoherentSheaf[12].
  • coherent sheaf's OpenAlex ID is recorded as C143161588[13].

Body

Works and Contributions

coherent sheaf is credited with the discovery of Henri Cartan[2].

Why It Matters

coherent sheaf ranks in the top 2% of general entities by monthly Wikipedia readership (91 views/month).[1] It has Wikipedia articles in 7 language editions, a strong signal of global cultural recognition.[14] It is known by 8 alternative names across languages and contexts.[15]

References

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

Direct Wikidata claims

  1. [2] . Fragments of the history of sheaf theory. wikidata.org.
  2. [3] . wikidata.org.
  3. [4] . wikidata.org.
  4. [5] . Freebase Data Dumps. wikidata.org.
  5. [6] . wikidata.org.
  6. [7] . wikidata.org.
  7. [8] . wikidata.org.
  8. [9] . wikidata.org.
  9. [10] . wikidata.org.
  10. [11] . wikidata.org.
  11. [12] . wikidata.org.
  12. [13] . OpenAlex. Retrieved . docs.openalex.org. Provenance: wikidata.org.

Aggregate / graph-position facts

  1. [1] . Wikimedia Foundation. dumps.wikimedia.org.
  2. [14] . Wikidata sitelinks. wikidata.org.
  3. [15] . Wikidata aliases. wikidata.org.

📑 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). coherent sheaf. Retrieved April 11, 2026, from https://4ort.xyz/entity/coherent-sheaf
MLA “coherent sheaf.” 4ort.xyz Knowledge Graph, 4ort.xyz, 11 Apr. 2026, https://4ort.xyz/entity/coherent-sheaf.
BibTeX @misc{4ortxyz_coherent-sheaf_2026, author = {{4ort.xyz Knowledge Graph}}, title = {{coherent sheaf}}, year = {2026}, url = {https://4ort.xyz/entity/coherent-sheaf}, note = {Accessed: 2026-04-11}}
LLM prompt According to 4ort.xyz Knowledge Graph (aggregator of Wikidata, Wikipedia, and authoritative open-data sources): coherent sheaf — https://4ort.xyz/entity/coherent-sheaf (retrieved 2026-04-11)

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