Grothendieck's theory of étale cohomology

GPTKB entity

Statements (22)
Predicate Object
gptkbp:instanceOf gptkb:logic
gptkbp:application gptkb:topology
gptkb:Weil_conjectures
number theory
gptkbp:developedBy gptkb:Alexander_Grothendieck
gptkbp:enables definition of l-adic cohomology
proof of the Weil conjectures by Deligne
gptkbp:field gptkb:algebraic_geometry
gptkbp:generalizes singular cohomology
gptkbp:hasConcept cohomology
sheaf
étale morphism
https://www.w3.org/2000/01/rdf-schema#label Grothendieck's theory of étale cohomology
gptkbp:influenced modern algebraic geometry
gptkbp:introducedIn 1960s
gptkbp:publishedIn gptkb:SGA_4
gptkb:SGA_5
gptkbp:purpose to provide a cohomology theory for algebraic varieties
gptkbp:relatedTo gptkb:Galois_cohomology
motivic cohomology
gptkbp:bfsParent gptkb:Grothendieck
gptkbp:bfsLayer 6