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Motivic Zeta Functions of Semi-Abelian Varieties

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Néron Models and Base Change

Part of the book series: Lecture Notes in Mathematics ((LNM,volume 2156))

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Abstract

In this chapter, we assume that k is algebraically closed. We will prove in Theorem 8.3.1.2 the rationality of the motivic zeta function of a Jacobian variety, and we show that it has a unique pole, which coincides with the tame base change conductor from Chap. 6 We will also investigate the case of Prym varieties.

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References

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Authors and Affiliations

  1. Dept. of Math. Sciences, University of Copenhagen, Copenhagen, Denmark

    Lars Halvard Halle

  2. Dept. of Mathematics, Imperial College London, London, UK

    Johannes Nicaise

Authors
  1. Lars Halvard Halle
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  2. Johannes Nicaise
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Halle, L.H., Nicaise, J. (2016). Motivic Zeta Functions of Semi-Abelian Varieties. In: Néron Models and Base Change. Lecture Notes in Mathematics, vol 2156. Springer, Cham. https://doi.org/10.1007/978-3-319-26638-1_8

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