sheaf cohomology

right derived functors of the global sections functor Γ: AbSh → Ab
Thing mathematical_theory Q1493952
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sheaf cohomology

Summary

sheaf cohomology is a mathematical theory[1]. It draws 123 Wikipedia views per month (mathematical_theory category, ranking #10 of 29).[2]

Key Facts

  • sheaf cohomology's instance of is recorded as mathematical theory[3].
  • sheaf cohomology's subclass of is recorded as derived functor[4].
  • sheaf cohomology's part of is recorded as theory of sheaves of Abelian groups[5].
  • sheaf cohomology's part of is recorded as theory of right-derived functors[6].
  • sheaf cohomology's Freebase ID is recorded as /m/0422gt[7].
  • sheaf cohomology's topic's main category is recorded as Q114722119[8].
  • sheaf cohomology's Stack Exchange tag is recorded as https://mathoverflow.net/tags/sheaf-cohomology[9].
  • sheaf cohomology's defining formula is recorded as \operatorname H^i(X;\mathcal F) = \mathrm R^i\Gamma_X(\mathcal F)[10].
  • sheaf cohomology's studied by is recorded as sheaf theory[11].
  • sheaf cohomology's Mathematics Subject Classification ID is recorded as 55N30[12].
  • sheaf cohomology's nLab ID is recorded as sheaf cohomology[13].
  • sheaf cohomology's maintained by WikiProject is recorded as WikiProject Mathematics[14].
  • sheaf cohomology's Microsoft Academic ID is recorded as 93067474[15].
  • sheaf cohomology's ProofWiki ID is recorded as Definition:Sheaf_Cohomology[16].
  • sheaf cohomology's in defining formula is recorded as \mathcal F[17].
  • sheaf cohomology's in defining formula is recorded as X[18].
  • sheaf cohomology's in defining formula is recorded as \operatorname H[19].
  • sheaf cohomology's in defining formula is recorded as i[20].
  • sheaf cohomology's in defining formula is recorded as \mathrm R[21].
  • sheaf cohomology's in defining formula is recorded as \Gamma[22].
  • sheaf cohomology's PlanetMath ID is recorded as SheafCohomology[23].
  • sheaf cohomology's Enciclopedia della Scienza e della Tecnica ID is recorded as gruppi-di-coomologia-dei-fasci[24].
  • sheaf cohomology's OpenAlex ID is recorded as C93067474[25].
  • sheaf cohomology's ScienceDirect topic ID is recorded as mathematics/sheaf-cohomology[26].

Why It Matters

sheaf cohomology draws 123 Wikipedia views per month (mathematical_theory category, ranking #10 of 29).[2] It has Wikipedia articles in 8 language editions, a strong signal of global cultural recognition.[27]

References

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

Direct Wikidata claims

  1. [3] . wikidata.org.
  2. [4] . wikidata.org.
  3. [5] . wikidata.org.
  4. [6] . wikidata.org.
  5. [7] . Freebase Data Dumps. wikidata.org.
  6. [8] . wikidata.org.
  7. [9] . wikidata.org.
  8. [10] . wikidata.org.
  9. [11] . wikidata.org.
  10. [12] . wikidata.org.
  11. [13] . wikidata.org.
  12. [14] . wikidata.org.
  13. [15] . wikidata.org.
  14. [16] . wikidata.org.
  15. [17] . wikidata.org.
  16. [18] . wikidata.org.
  17. [19] . wikidata.org.
  18. [20] . wikidata.org.
  19. [21] . wikidata.org.
  20. [22] . wikidata.org.
  21. [23] . wikidata.org.
  22. [24] . wikidata.org.
  23. [25] . OpenAlex. Retrieved . docs.openalex.org. Provenance: wikidata.org.
  24. [26] . wikidata.org.

Class ancestry

  1. [1] . Wikidata. wikidata.org.

Aggregate / graph-position facts

  1. [2] . Wikimedia Foundation. dumps.wikimedia.org.
  2. [27] . Wikidata sitelinks. 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). sheaf cohomology. Retrieved May 3, 2026, from https://4ort.xyz/entity/sheaf-cohomology
MLA “sheaf cohomology.” 4ort.xyz Knowledge Graph, 4ort.xyz, 3 May. 2026, https://4ort.xyz/entity/sheaf-cohomology.
BibTeX @misc{4ortxyz_sheaf-cohomology_2026, author = {{4ort.xyz Knowledge Graph}}, title = {{sheaf cohomology}}, year = {2026}, url = {https://4ort.xyz/entity/sheaf-cohomology}, note = {Accessed: 2026-05-03}}
LLM prompt According to 4ort.xyz Knowledge Graph (aggregator of Wikidata, Wikipedia, and authoritative open-data sources): sheaf cohomology — https://4ort.xyz/entity/sheaf-cohomology (retrieved 2026-05-03)

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