Statements (23)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:appearsIn |
gptkb:Algebraic_topology
Grothendieck's theory of schemes |
| gptkbp:defines |
A sheaf of modules that is locally isomorphic to a free module
|
| gptkbp:example |
Sheaf of sections of a vector bundle
|
| gptkbp:field |
gptkb:Algebraic_geometry
gptkb:Sheaf_theory |
| gptkbp:generalizes |
gptkb:Vector_bundle
|
| https://www.w3.org/2000/01/rdf-schema#label |
Locally free sheaf
|
| gptkbp:property |
gptkb:Coherent
Locally trivial |
| gptkbp:rank |
Locally constant function
|
| gptkbp:relatedTo |
gptkb:Projective_module
Quasi-coherent sheaf Coherent sheaf |
| gptkbp:type |
Module
Sheaf O-module |
| gptkbp:used_in |
gptkb:Algebraic_geometry
gptkb:Scheme_theory Complex geometry |
| gptkbp:bfsParent |
gptkb:Vector_bundles_(in_algebraic_geometry)
|
| gptkbp:bfsLayer |
7
|