Statements (13)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:appliesTo |
finite morphisms of schemes
|
| gptkbp:concerns |
purity of branch locus
|
| gptkbp:field |
gptkb:algebraic_geometry
|
| gptkbp:influenced |
gptkb:Grothendieck's_purity_theorems
|
| gptkbp:namedAfter |
gptkb:Oscar_Zariski
|
| gptkbp:publishedIn |
gptkb:Annals_of_Mathematics
|
| gptkbp:relatedTo |
gptkb:purity_theorem_(algebraic_geometry)
|
| gptkbp:state |
if a normal scheme is regular in codimension 1, then the branch locus of a finite morphism is pure of codimension 1
|
| gptkbp:year |
1951
|
| gptkbp:bfsParent |
gptkb:Resolution_of_singularities
|
| gptkbp:bfsLayer |
9
|
| http://www.w3.org/2000/01/rdf-schema#label |
Zariski's purity theorem
|