114 research outputs found
A Coboundary Morphism For The Grothendieck Spectral Sequence
Given an abelian category with enough injectives we show that a
short exact sequence of chain complexes of objects in 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.Comment: 18 page
Fine-grained parallelization of fitness functions in bioinformatics optimization problems: gene selection for cancer classification and biclustering of gene expression data
Supersymmetric backgrounds, the Killing superalgebra, and generalised special holonomy
On the Optimization of a Pipeline Model to Integrate a Reduced-Dimensionality Schrƶdinger Equation for Distributed Memory Architectures
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