Zeta functions in triangulated categories
Identifieur interne : 000361 ( Main/Exploration ); précédent : 000360; suivant : 000362Zeta functions in triangulated categories
Auteurs : V. I. Guletskii [Royaume-Uni]Source :
- Mathematical Notes [ 0001-4346 ] ; 2010-04-01.
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Abstract
Abstract: We prove the 2-out-of-3 property for the rationality of the motivic zeta function in distinguished triangles in Voevodsky’s category . As an application, we show the 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 . Together with a result due to P. O’sullivan, this also gives an example of a variety whose motive is not finite-dimensional while the motivic zeta function is rational.
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DOI: 10.1134/S0001434610030053
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