Statements (25)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
gptkb:Morphism |
| gptkbp:characterizedBy |
gptkb:Jacobian_criterion
Formally étale |
| gptkbp:definedIn |
gptkb:Scheme_theory
|
| gptkbp:etymology |
French word 'étale' meaning 'spread out' or 'level'
|
| gptkbp:example |
Covering space in topology
Finite étale morphism Open immersion |
| gptkbp:field |
gptkb:Algebraic_geometry
|
| gptkbp:generalizes |
Local isomorphism
|
| gptkbp:introduced |
gptkb:Alexander_Grothendieck
|
| gptkbp:language |
gptkb:French
|
| gptkbp:property |
Flat morphism
Unramified morphism |
| gptkbp:relatedTo |
Flat morphism
Smooth morphism Unramified morphism |
| gptkbp:usedIn |
gptkb:Algebraic_topology
gptkb:Étale_cohomology gptkb:Algebraic_number_theory |
| gptkbp:bfsParent |
gptkb:Etale_cohomology
gptkb:Scheme_theory |
| gptkbp:bfsLayer |
8
|
| https://www.w3.org/2000/01/rdf-schema#label |
Étale morphism
|