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The triangulated category of K-motives

  • Grigory Garkusha (a1) and Ivan Panin (a2) (a3)

For any perfect field k a triangulated category of K-motives is constructed in the style of Voevodsky's construction of the category . To each smooth k-variety X the K-motive is associated in the category and

where pt = Spec(k) and K(X) is Quillen's K-theory of X.

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Journal of K-Theory
  • ISSN: 1865-2433
  • EISSN: 1865-5394
  • URL: /core/journals/journal-of-k-theory
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