Zariski–Nagata purity theorem
GPTKB entity
Statements (14)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:appliesTo |
finite morphisms
regular schemes |
| gptkbp:concerns |
purity of branch locus
|
| gptkbp:field |
gptkb:algebraic_geometry
|
| https://www.w3.org/2000/01/rdf-schema#label |
Zariski–Nagata purity theorem
|
| gptkbp:namedAfter |
gptkb:Oscar_Zariski
gptkb:Masayoshi_Nagata |
| gptkbp:publishedIn |
Nagata's 1959 paper
|
| gptkbp:relatedTo |
scheme theory
purity theorem |
| gptkbp:state |
the branch locus of a finite morphism between regular schemes is pure of codimension 1
|
| gptkbp:bfsParent |
gptkb:Oscar_Zariski
|
| gptkbp:bfsLayer |
6
|