Zariski–Mumford conjecture

GPTKB entity

Statements (13)
Predicate Object
gptkbp:instanceOf gptkb:mathematical_concept
gptkbp:concerns gptkb:fundamental_group
algebraic surfaces
gptkbp:field gptkb:algebraic_geometry
https://www.w3.org/2000/01/rdf-schema#label Zariski–Mumford conjecture
gptkbp:proposedBy gptkb:Oscar_Zariski
gptkb:David_Mumford
gptkbp:provenBy gptkb:Michel_Raynaud
gptkbp:sentence If a smooth projective surface over an algebraically closed field of characteristic p > 0 has trivial étale fundamental group, then it is simply connected in the Zariski topology.
gptkbp:status proved
gptkbp:yearProved 1978
gptkbp:bfsParent gptkb:Oscar_Zariski
gptkbp:bfsLayer 6