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Tensor structure on smooth motives

Banerjee, Anandam


Recently, Bondarko constructed a DG category of motives, whose homotopy category is equivalent to Voevodsky's category of effective geometric motives, assuming resolution of singularities. Soon after, Levine extended this idea to construct a DG category whose homotopy category is equivalent to the full subcategory of motives over a base-scheme S generated by the motives of smooth projective S-schemes, assuming that S is itself smooth over a perfect field. In both constructions, the tensor...[Show more]

CollectionsANU Research Publications
Date published: 2012
Type: Journal article
Source: Journal of K-Theory
DOI: 10.1017/is011003009jkt144


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