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
Facts
6 properties- Inception
- 1940[3]
- Subclass of
- quasicoherent sheaf[2]
- Defining formula
- \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)[4]
- Discoverer or inventor
- Henri Cartan[1]
- Maintained by WikiProject
- WikiProject Mathematics[6]
- Studied by
- sheaf theory[5]
🏷️ Also known as
en coherent sheaf
de kohärente Garbe
de kohärente Modulgarbe
es haz coherente
fr faisceau cohérent
he אלומה קוהרנטית
it fascio coerente
ja 準じゅん連接れんせつ層そう
ja 局所きょくしょ自由じゆう層そう
ja 正則せいそく層そう
ja 正則層
ja 連接層
ko 연접층
ko 일관된 층
ko 연접 가군층
pt feixe coerente
ro snop coerent
ru когерентный пучок
zh 凝聚層
zh 擬凝聚層
🔖 Identifiers · 6
- OpenAlex ID
- C143161588
- Encyclopedia of Mathematics article ID
- Coherent_sheaf
- Freebase ID
- /m/02vmcd
- Microsoft Academic ID (discontinued)
- 143161588
- NLab ID
- coherent sheaf
- PlanetMath ID
- CoherentSheaf
🔗 Connections
Discoverer or inventor 1
Maintained by WikiProject 1
Studied by 1
Subclass of 1
Subtypes 1
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