Zeta functions in triangulated categories

Details Zeta functions in triangulated categories Zeta functions in triangulated categories

2006-05-02

arxiv.org/abs/math/0605040v1

Mathematics

Algebraic Geometry

14 pages

Scientific paper

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.

Affiliated with

Also associated with

No associations

Rating

Zeta functions in triangulated categories does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Zeta functions in triangulated categories, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Zeta functions in triangulated categories will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-184382