Explicit generators for (conjectural) mixed motives (in Voevodsky's $\dmge$). The Kunneth decomposition of pure (numerical) motives

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dc.creatorBondarko, M. V.
dc.date2007-03-17
dc.date2007-03-20
dc.date.accessioned2026-07-07T07:52:34Z
dc.date.available2026-07-07T07:52:34Z
dc.descriptionIn this note we describe very explicitly a rich family of mixed motives that generates Voevodsky's $DM^{eff}_{gm}{\mathbb{Q}}$ (as a triangulated category). They "should be" mixed since they have only one non-zero Betti cohomology group. Our method also allows to define a family of direct summands of the numerical motif of any smooth projective variety $P$. Modulo certain standard conjectures, this construction yields the Kunneth decomposition of the diagonal of $P$.
dc.descriptionNew very explicit mixed (conjecturally) motives in Voevodsky's $DM$!
dc.identifierhttps://arxiv.org/abs/math/0703499
dc.identifierhttp://arxiv.org/abs/math/0703499
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/125925
dc.subjectAlgebraic Geometry
dc.subject19E15, 14F40, 14F42, 14F25
dc.titleExplicit generators for (conjectural) mixed motives (in Voevodsky's $\dmge$). The Kunneth decomposition of pure (numerical) motives
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