π₁^ét(X)

GPTKB entity

Statements (18)
Predicate Object
gptkbp:instanceOf gptkb:mathematical_concept
gptkb:étale_fundamental_group
gptkbp:appliesTo scheme X
gptkbp:capturedBy finite étale covers of X
gptkbp:dependsOn base point of X
gptkbp:generalizes topological fundamental group
gptkbp:heldBy profinite group
functorial in X
invariant under isomorphism of schemes
https://www.w3.org/2000/01/rdf-schema#label π₁^ét(X)
gptkbp:introduced gptkb:Alexander_Grothendieck
gptkbp:relatedTo Galois group of a field
gptkbp:usedFor gptkb:anabelian_geometry
arithmetic geometry
studying Galois actions
gptkbp:usedIn gptkb:algebraic_geometry
gptkbp:bfsParent gptkb:étale_fundamental_group
gptkbp:bfsLayer 7