p-adic and motivic measure on Artin n-stacks

Details p-adic and motivic measure on Artin n-stacks p-adic and motivic measure on Artin n-stacks

2011-10-16

arxiv.org/abs/1110.3457v1

Mathematics

Algebraic Geometry

36 pages

Scientific paper

We construct a notion of p-adic measure on Artin n-stacks which are strongly
of finite type over the ring of p-adic integers. We also prove the rationality
of of the Poincare series and the Serre series associated with such stacks.
Finally, we use motivic integration to show that the rationality of the Serre
series is uniform with respect to p.

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