p-adic and motivic measure on Artin n-stacks
Algebraic Geometry
2011-10-18 v1 Logic
Number Theory
Abstract
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.
Keywords
Cite
@article{arxiv.1110.3457,
title = {p-adic and motivic measure on Artin n-stacks},
author = {Chetan T. Balwe},
journal= {arXiv preprint arXiv:1110.3457},
year = {2011}
}
Comments
36 pages