Recollements for derived categories of enriched functors and triangulated categories of motives

نویسندگان

چکیده

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

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ژورنال

عنوان ژورنال: Journal of Algebra

سال: 2022

ISSN: ['1090-266X', '0021-8693']

DOI: https://doi.org/10.1016/j.jalgebra.2021.09.020