Zeta functions in triangulated categories

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dc.creatorGuletskii, Vladimir
dc.date2006-05-02
dc.date.accessioned2026-07-07T07:13:49Z
dc.date.available2026-07-07T07:13:49Z
dc.descriptionWe prove 2-out-of-3 property for rationality of motivic zeta function in distinguished triangles in Voevodsky's category DM. As an application, we show rationality of motivic zeta functions for all varieties whose motives are in the thick triangulated monoidal subcategory generated by motives of quasi-projective curves in DM. Joint with a result of P.O'Sullivan it also gives an example of a variety whose motive is not finite-dimensional while the motivic zeta function is rational.
dc.description14 pages
dc.identifierhttps://arxiv.org/abs/math/0605040
dc.identifierhttp://arxiv.org/abs/math/0605040
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/112617
dc.subjectAlgebraic Geometry
dc.subjectK-Theory and Homology
dc.subject16E20; 18D10; 19E15; 55U35
dc.titleZeta functions in triangulated categories
dc.typetext

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