Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Recollements for derived categories of enriched functors and
  triangulated categories of motives   We investigate certain categorical aspects of Voevodsky's triangulated
categories of motives. For this, various recollements for Grothendieck
categories of enriched functors and their derived categories are established.
In order to extend these recollements further with respect to Serre's
localization, the concept of the (strict) Voevodsky property for Serre
localizing subcategories is introduced. This concept is inspired by the
celebrated Voevodsky theorem on homotopy invariant presheaves with transfers.
As an application, it is shown that Voevodsky's triangulated categories of
motives fit into recollements of derived categories of associated Grothendieck
categories of Nisnevich sheaves with specific transfers.

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The categories of this paper are: supr-con
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The categories of this paper are: eess
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The categories of this paper are: patt-sol
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The categories of this paper are: hep-ph
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The categories of this paper are: math-ph
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The categories of this paper are: q-fin
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The categories of this paper are: dg-ga
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The categories of this paper are: econ
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The categories of this paper are: q-alg
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The categories of this paper are: nucl-th
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The categories of this paper are: astro-ph
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The categories of this paper are: cs
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The categories of this paper are: atom-ph
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The categories of this paper are: funct-an