Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The Tate Conjecture for Motivic Endomorphisms of K3 Surfaces over Finite
  Fields   The Tate conjecture for squares of K3 surfaces over finite fields was
recently proved by Ito-Ito-Koshikawa. We give a more geometric proof when the
characteristic is at least 5. The main idea is to use twisted derived
equivalences between K3 surfaces to link the Tate conjecture to finiteness
results over finite fields, in the spirit of Tate.

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The categories of this paper are: hep-lat
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The categories of this paper are: nlin
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The categories of this paper are: plasm-ph
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The categories of this paper are: q-bio
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The categories of this paper are: acc-phys
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The categories of this paper are: atom-ph
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The categories of this paper are: bayes-an
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The categories of this paper are: cs
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The categories of this paper are: cmp-lg
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The categories of this paper are: quant-ph
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The categories of this paper are: hep-th
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The categories of this paper are: gr-qc
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The categories of this paper are: supr-con
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The categories of this paper are: econ
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The categories of this paper are: mtrl-th
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The categories of this paper are: ao-sci