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quasicoherent sheaf

generalization of a coherent sheaf; a sheaf of modules over a ringed space admitting a local presentation
Class type of: sheaf of modules Q61040808

Facts

4 properties
Subclass of
sheaf of modules[1]
Defining formula
\mathcal O_X^I|_U \to \mathcal O_X^J|_U \to \mathcal F|_U \to 0[2]
In defining formula
\mathcal O_X, X, \mathcal F, U, \to, I, J[4][5][6][7][8][9][10]
Maintained by WikiProject
WikiProject Mathematics[3]
🏷️ Also known as
en quasi-coherent sheaf en quasicoherent sheaf de quasikohärente Modulgarbe de quasikohärente Garbe es haz cuasicoherente fr faisceau quasi-cohérent he אלומה קווזיקוהרנטית he אלומה קוואזי-קוהרנטית ja 準連接層 ko 준연접층 ko 준연접 가군층 ru квазикогерентные пучки zh-hans 拟凝聚层 zh-hant 擬凝聚層
🔖 Identifiers · 5
Encyclopedia of Mathematics article ID
Quasi-coherent_sheaf
Google Knowledge Graph ID
/g/11fjtn_0jw
NLab ID
quasicoherent sheaf
ProofWiki ID
Definition:Quasi-Coherent_Sheaf_of_Modules
Stack Exchange tag
math.stackexchange.com

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🔗 Connections
Maintained by WikiProject 1
WikiProject Mathematics
Subclass of 1
sheaf of modules
Subtypes 1
coherent sheaf
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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.
  6. [6] ↑ . wikidata.org.
  7. [7] ↑ . wikidata.org.
  8. [8] ↑ . wikidata.org.
  9. [9] ↑ . wikidata.org.
  10. [10] ↑ . wikidata.org.

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APA 4ort.xyz Knowledge Graph. (2026). quasicoherent sheaf. Retrieved November 11, 2026, from https://4ort.xyz/entity/quasicoherent-sheaf
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