Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Riemann-Roch for tensor powers   Mapping a locally free module to its l-th tensor power gives rise to a
natural map from the Grothendieck group of all locally free modules to the
Grothendieck group of all locally free representations of the l-th symmetric
group. In this paper, we prove some formulas of Riemann-Roch type for the
behaviour of this tensor power operation with respect to the push-forward
homomorphism associated with a projective morphism between schemes. We
furthermore establish analogous formulas for higher K-groups.

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The categories of this paper are: cond-mat
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The categories of this paper are: hep-ph
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The categories of this paper are: q-fin
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The categories of this paper are: acc-phys
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The categories of this paper are: hep-th
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The categories of this paper are: bayes-an
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The categories of this paper are: cmp-lg
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The categories of this paper are: chem-ph
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The categories of this paper are: astro-ph
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The categories of this paper are: q-bio
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The categories of this paper are: nucl-th
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The categories of this paper are: nucl-ex
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The categories of this paper are: dg-ga
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The categories of this paper are: cs
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The categories of this paper are: stat
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The categories of this paper are: hep-ex