Grothendieck's yoga of étale cohomology

GPTKB entity

Statements (21)
Predicate Object
gptkbp:instanceOf gptkb:mathematical_concept
gptkbp:developedBy gptkb:Alexander_Grothendieck
gptkbp:field gptkb:algebraic_geometry
gptkbp:hasConcept sites
sheaf theory
derived functors
cohomological descent
https://www.w3.org/2000/01/rdf-schema#label Grothendieck's yoga of étale cohomology
gptkbp:influenced gptkb:l-adic_cohomology
modern algebraic geometry
motivic cohomology
topos theory
gptkbp:introducedIn 1960s
gptkbp:publishedIn gptkb:SGA_4
gptkb:SGA_5
gptkbp:purpose to provide a cohomological framework for algebraic varieties
gptkbp:relatedTo gptkb:Weil_conjectures
gptkb:étale_cohomology
gptkbp:solvedBy Weil conjectures (partially)
gptkbp:bfsParent gptkb:Alexandre_Grothendieck
gptkbp:bfsLayer 7