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arXiv · 1610.00742

Computing motivic zeta functions on log smooth models

Emmanuel Bultot·Johannes Nicaise
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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.

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Emmanuel Bultot, Johannes Nicaise. 2016-10-03. Computing motivic zeta functions on log smooth models. https://arxiv.org/abs/1610.00742

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