Spectral sequences in smooth generalized cohomology

Local-to-global Spectral Sequences for the Cohomology of Diagrams

The cohomology of diagrams arises as a natural object of study in several mathematical contexts: in deformation theory (see [GS2, GS1, GGS]), and in classifying diagrams of groups, as in [C]. If I is the one-object category corresponding to a group G, a diagram X ∈ C is just an object in C equipped with a G-action, and its cohomology is the equivariant cohomology of [I] (cf. [P1, §2]). On the o...

On the Eilenberg-moore Spectral Sequence for Generalized Cohomology Theories

We prove that the Morava-K-theory-based Eilenberg-Moore spectral sequence has good convergence properties whenever the base space is a p-local finite Postnikov system with vanishing (n + 1)st homotopy group.

Tame Loci of Generalized Local Cohomology Modules

Let $M$ and $N$ be two finitely generated graded modules over a standard graded Noetherian ring $R=bigoplus_{ngeq 0} R_n$. In this paper we show that if $R_{0}$ is semi-local of dimension $leq 2$ then, the set $hbox{Ass}_{R_{0}}Big(H^{i}_{R_{+}}(M,N)_{n}Big)$ is asymptotically stable for $nrightarrow -infty$ in some special cases. Also, we study the torsion-freeness of graded generalized local ...

On Reducing sequences and an Application to Local Cohomology Modules

Extension functors of generalized local cohomology modules

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