Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Connecting homomorphisms associated to Tate sequences   Tate sequences are an important tool for tackling problems related to the
(ill-understood) Galois structure of groups of $S$-units. The relatively recent
Tate sequence "for small $S$" of Ritter and Weiss allows one to use the
sequence without assuming the vanishing of the $S$-class-group, a significant
advance in the theory. Associated to Ritter and Weiss's version of the sequence
are connecting homomorphisms in Tate cohomology, involving the $S$-class-group,
that do not exist in the earlier theory. In the present article, we give
explicit descriptions of certain of these connecting homomorphisms under some
assumptions on the set $S$.

29
The categories of this paper are: funct-an
0
The categories of this paper are: hep-ph
12
The categories of this paper are: nucl-th
22
The categories of this paper are: chao-dyn
21
The categories of this paper are: adap-org
35
The categories of this paper are: mtrl-th
19
The categories of this paper are: eess
23
The categories of this paper are: solv-int
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The categories of this paper are: atom-ph
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The categories of this paper are: alg-geom
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The categories of this paper are: bayes-an
30
The categories of this paper are: q-alg
1
The categories of this paper are: cs
9
The categories of this paper are: nlin
16
The categories of this paper are: stat
24
The categories of this paper are: dg-ga