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- Coherent_sheaf abstract "In mathematics, especially in algebraic geometry and the theory of complex manifolds, coherent sheaves are a specific class of sheaves having particularly manageable properties closely linked to the geometrical properties of the underlying space. The definition of coherent sheaves is made with reference to a sheaf of rings that codifies this geometrical information. Coherent sheaves can be seen as a generalization of vector bundles, or of locally free sheaves of finite rank. Unlike vector bundles, they form a "nice" category closed under usual operations such as taking kernels, cokernels and finite direct sums. The quasi-coherent sheaves are a generalization of coherent sheaves and include the locally free sheaves of infinite rank. Many results and properties in algebraic geometry and complex analytic geometry are formulated in terms of coherent or quasi-coherent sheaves and their cohomology.".
- Coherent_sheaf wikiPageExternalLink modules.pdf.
- Coherent_sheaf wikiPageID "603780".
- Coherent_sheaf wikiPageRevisionID "596192225".
- Coherent_sheaf first "A.L.".
- Coherent_sheaf first "V. I.".
- Coherent_sheaf hasPhotoCollection Coherent_sheaf.
- Coherent_sheaf id "C/c023020".
- Coherent_sheaf id "c/c022980".
- Coherent_sheaf id "c/c022990".
- Coherent_sheaf last "Danilov".
- Coherent_sheaf last "Onishchik".
- Coherent_sheaf title "Coherent algebraic sheaf".
- Coherent_sheaf title "Coherent analytic sheaf".
- Coherent_sheaf title "Coherent sheaf".
- Coherent_sheaf subject Category:Complex_manifolds.
- Coherent_sheaf subject Category:Sheaf_theory.
- Coherent_sheaf subject Category:Topological_methods_of_algebraic_geometry.
- Coherent_sheaf type Artifact100021939.
- Coherent_sheaf type ComplexManifolds.
- Coherent_sheaf type Conduit103089014.
- Coherent_sheaf type Manifold103717750.
- Coherent_sheaf type Object100002684.
- Coherent_sheaf type Passage103895293.
- Coherent_sheaf type PhysicalEntity100001930.
- Coherent_sheaf type Pipe103944672.
- Coherent_sheaf type Tube104493505.
- Coherent_sheaf type Way104564698.
- Coherent_sheaf type Whole100003553.
- Coherent_sheaf type YagoGeoEntity.
- Coherent_sheaf type YagoPermanentlyLocatedEntity.
- Coherent_sheaf comment "In mathematics, especially in algebraic geometry and the theory of complex manifolds, coherent sheaves are a specific class of sheaves having particularly manageable properties closely linked to the geometrical properties of the underlying space. The definition of coherent sheaves is made with reference to a sheaf of rings that codifies this geometrical information. Coherent sheaves can be seen as a generalization of vector bundles, or of locally free sheaves of finite rank.".
- Coherent_sheaf label "Coherent sheaf".
- Coherent_sheaf label "Kohärente Garbe".
- Coherent_sheaf label "凝聚層".
- Coherent_sheaf label "連接層".
- Coherent_sheaf sameAs Kohärente_Garbe.
- Coherent_sheaf sameAs 連接層.
- Coherent_sheaf sameAs 연접층.
- Coherent_sheaf sameAs m.02vmcd.
- Coherent_sheaf sameAs Q906907.
- Coherent_sheaf sameAs Q906907.
- Coherent_sheaf sameAs Coherent_sheaf.
- Coherent_sheaf wasDerivedFrom Coherent_sheaf?oldid=596192225.
- Coherent_sheaf isPrimaryTopicOf Coherent_sheaf.