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- Six_operations abstract "In mathematics, Grothendieck's six operations, named after Alexander Grothendieck, is a formalism in homological algebra. It originally sprang from the relations in étale cohomology that arise from a morphism of schemes f : X → Y. The basic insight was that many of the elementary facts relating cohomology on X and Y were formal consequences of a small number of axioms. These axioms hold in many cases completely unrelated to the original context, and therefore the formal consequences also hold. The six operations formalism has since been shown to apply to contexts such as D-modules on algebraic varieties, sheaves on locally compact topological spaces, and motives.".
- Six_operations wikiPageExternalLink 0912.2110v3.pdf.
- Six_operations wikiPageExternalLink 0512097v2.pdf.
- Six_operations wikiPageExternalLink THESE.pdf.
- Six_operations wikiPageID "39560800".
- Six_operations wikiPageRevisionID "586821314".
- Six_operations id "six+operations".
- Six_operations title "six operations".
- Six_operations subject Category:Duality_theories.
- Six_operations subject Category:Homological_algebra.
- Six_operations subject Category:Sheaf_theory.
- Six_operations comment "In mathematics, Grothendieck's six operations, named after Alexander Grothendieck, is a formalism in homological algebra. It originally sprang from the relations in étale cohomology that arise from a morphism of schemes f : X → Y. The basic insight was that many of the elementary facts relating cohomology on X and Y were formal consequences of a small number of axioms.".
- Six_operations label "Six operations".
- Six_operations sameAs m.0vxgc9j.
- Six_operations sameAs Q17103325.
- Six_operations sameAs Q17103325.
- Six_operations wasDerivedFrom Six_operations?oldid=586821314.
- Six_operations isPrimaryTopicOf Six_operations.