Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Relative Tate Objects and Boundary Maps in the K-Theory of Coherent
  Sheaves   We investigate the properties of relative analogues of admissible Ind, Pro,
and elementary Tate objects for pairs of exact categories, and give criteria
for those categories to be abelian. A relative index map is introduced, and as
an application we deduce a description for boundary morphisms in the K-theory
of coherent sheaves on Noetherian schemes.

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The categories of this paper are: math-ph
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The categories of this paper are: atom-ph
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The categories of this paper are: solv-int
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The categories of this paper are: hep-ex
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The categories of this paper are: alg-geom
6
The categories of this paper are: astro-ph
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The categories of this paper are: supr-con
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The categories of this paper are: nucl-ex
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The categories of this paper are: quant-ph
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The categories of this paper are: hep-ph
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The categories of this paper are: dg-ga
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The categories of this paper are: physics
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The categories of this paper are: funct-an
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The categories of this paper are: patt-sol
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The categories of this paper are: gr-qc
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The categories of this paper are: cmp-lg