Abstract.
Once having recollected some of V. Voevodsky’s results as found in [Voe00], we prove the equivalence of categories, announced in loc. cit. § 3.4 (p. 218), between the derived category of 1-isomotives of P. Deligne on a perfect field and the triangulated category of geometric effective motives of dimension less than or equal to 1.
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Mathematics Subject Classification (2000): 14F, 14C, 14K
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Orgogozo, F. Isomotifs de dimension inférieure ou égale à un. manuscripta math. 115, 339–360 (2004). https://doi.org/10.1007/s00229-004-0495-4
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DOI: https://doi.org/10.1007/s00229-004-0495-4