Leray spectral sequence

GPTKB entity

Statements (19)
Predicate Object
gptkbp:instanceOf spectral sequence
gptkbp:appliesTo F sheaf on X
f: X → Y continuous map
gptkbp:convergesTo H^{p+q}(X, F)
gptkbp:describes relationship between cohomology of a space and cohomology of a sheaf
gptkbp:firstDescribed 1946
gptkbp:hasE2Term E2^{p,q} = H^p(Y, R^q f_* F)
https://www.w3.org/2000/01/rdf-schema#label Leray spectral sequence
gptkbp:importantFor computing sheaf cohomology
gptkbp:namedAfter gptkb:Jean_Leray
gptkbp:originatedIn continuous map of topological spaces
gptkbp:relatedTo cohomology of base space
cohomology of total space
higher direct image sheaves
gptkbp:usedIn gptkb:algebraic_geometry
gptkb:topology
sheaf cohomology
gptkbp:bfsParent gptkb:Jean_Leray
gptkbp:bfsLayer 5