Computing motivic zeta functions on log smooth models
Algebraic Geometry
2019-02-13 v3
Abstract
We give an explicit formula for the motivic zeta function in terms of a log smooth model. It generalizes the classical formulas for snc-models, but it gives rise to much fewer candidate poles, in general. As an illustration, we explain how the formula for Newton non-degenerate polynomials can be viewed as a special case of our results.
Cite
@article{arxiv.1610.00742,
title = {Computing motivic zeta functions on log smooth models},
author = {Emmanuel Bultot and Johannes Nicaise},
journal= {arXiv preprint arXiv:1610.00742},
year = {2019}
}
Comments
v3: Section 3 with background material on regular log schemes expanded, minor changes to the remainder of the paper