Grothendieck's specialization theorem

GPTKB entity

Statements (13)
Predicate Object
gptkbp:instanceOf gptkb:mathematical_concept
gptkbp:appliesTo proper and smooth morphisms of schemes
gptkbp:concerns gptkb:étale_fundamental_group
specialization of schemes
gptkbp:field gptkb:algebraic_geometry
https://www.w3.org/2000/01/rdf-schema#label Grothendieck's specialization theorem
gptkbp:influenced modern algebraic geometry
gptkbp:namedAfter gptkb:Alexander_Grothendieck
gptkbp:publishedIn gptkb:Séminaire_de_Géométrie_Algébrique_du_Bois_Marie_(SGA_1)
gptkbp:state the étale fundamental group of a fiber specializes to the étale fundamental group of the special fiber under certain conditions
gptkbp:year 1960s
gptkbp:bfsParent gptkb:SGA_(Séminaire_de_Géométrie_Algébrique)
gptkbp:bfsLayer 6