Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Higher algebraic K-theory for actions of diagonalizable groups   We study the K-theory of actions of diagonalizable group schemes on
noetherian regular separated algebraic spaces: our main result shows how to
reconstruct the K-theory ring of such an action from the K-theory rings of the
loci where the stabilizers have constant dimension. We apply this to the
calculation of the equivariant K-theory of toric varieties, and give conditions
under which the Merkurjev spectral sequence degenerates, so that the
equivariant K-theory ring determines the ordinary K-theory ring. We also prove
a very refined localization theorem for actions of this type.

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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: solv-int
0
The categories of this paper are: hep-ph
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The categories of this paper are: stat
1
The categories of this paper are: cs
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The categories of this paper are: comp-gas
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The categories of this paper are: hep-lat
4
The categories of this paper are: cond-mat
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The categories of this paper are: nucl-ex
5
The categories of this paper are: gr-qc
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The categories of this paper are: plasm-ph
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The categories of this paper are: funct-an
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The categories of this paper are: quant-ph
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The categories of this paper are: bayes-an
8
The categories of this paper are: hep-ex