Zariski–Samuel purity theorem

GPTKB entity

Statements (12)
Predicate Object
gptkbp:instanceOf gptkb:mathematical_concept
gptkbp:appliesTo finite morphisms of regular schemes
gptkbp:concerns purity of branch locus
gptkbp:field gptkb:algebraic_geometry
https://www.w3.org/2000/01/rdf-schema#label Zariski–Samuel purity theorem
gptkbp:namedAfter gptkb:Oscar_Zariski
gptkb:Pierre_Samuel
gptkbp:publishedIn gptkb:Commutative_Algebra_(book)
gptkbp:state branch locus of a finite morphism between regular schemes is pure of codimension 1
gptkbp:yearProposed mid 20th century
gptkbp:bfsParent gptkb:Oscar_Zariski
gptkbp:bfsLayer 6