On finite dimensionality of mixed Tate motives

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dc.creatorBiglari, Shahram
dc.date2007-01-24
dc.date2009-02-07
dc.date.accessioned2026-07-07T12:38:28Z
dc.date.available2026-07-07T12:38:28Z
dc.descriptionWe prove a few results concerning the notions of finite dimensionality of mixed Tate motives in the sense of Kimura and O'Sullivan. It is shown that being oddly or evenly finite dimensional is equivalent to vanishing of certain cohomology groups defined by means of Levine weight filtration. We then explain the relation to the Grothendieck group of the triangulated category D of mixed Tate motives. This naturally gives rise to a λ-ring structure on K_0(D).
dc.description16 pages
dc.identifierhttps://arxiv.org/abs/math/0701683
dc.identifierhttp://arxiv.org/abs/math/0701683
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/218773
dc.subjectAlgebraic Geometry
dc.subjectK-Theory and Homology
dc.subject11G09; 19A99
dc.titleOn finite dimensionality of mixed Tate motives
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