Vladimir Guletskii
Published 2006-05-02Version 1
We 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.
Automorphisms of symmetric powers and motivic zeta functions
On the rationality of the singularities of the $A_2$-loci
Rationality of inner twisted flags of type $A_n$
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