Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Diagonalizing the Frobenius   Over a Noetherian, local ring R of prime characteristic p, the Frobenius
functor F induces a diagonalizable map on certain quotients of rational
Grothendieck groups. This leads to an explicit formula for the Dutta
multiplicity, and it is shown that a weaker version of Serre's vanishing
conjecture holds if only chi(F(X)) = p^{dim R}chi(X) for all bounded complexes
X of finitely generated, projective modules with finite length homology.

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The categories of this paper are: hep-ex
27
The categories of this paper are: comp-gas
31
The categories of this paper are: ao-sci
35
The categories of this paper are: mtrl-th
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The categories of this paper are: hep-th
33
The categories of this paper are: plasm-ph
32
The categories of this paper are: atom-ph
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The categories of this paper are: acc-phys
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The categories of this paper are: eess
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The categories of this paper are: bayes-an
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The categories of this paper are: nucl-ex
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The categories of this paper are: hep-lat
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The categories of this paper are: q-fin
0
The categories of this paper are: hep-ph
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The categories of this paper are: alg-geom
4
The categories of this paper are: cond-mat