A coboundary morphism for the grothendieck spectral sequence
Date
2014
Authors
Baraglia, D.
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Applied Categorical Structures, 2014; 22(1):269-288
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David Baraglia
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Abstract
Given an abelian category A with enough injectives we show that a short exact sequence of chain complexes of objects in A gives rise to a short exact sequence of Cartan-Eilenberg resolutions. Using this we construct coboundary morphisms between Grothendieck spectral sequences associated to objects in a short exact sequence. We show that the coboundary preserves the filtrations associated with the spectral sequences and give an application of these result to filtrations in sheaf cohomology.
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© Springer Science+Business Media Dordrecht 2013