Zeta functions, Grothendieck groups, and the Witt ring

Niranjan Ramachandran

doi:10.1016/j.bulsci.2014.11.004

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arXiv · 1407.1813

Zeta functions, Grothendieck groups, and the Witt ring

Niranjan Ramachandran

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Abstract

We prove some results connecting the zeta functions of varieties over finite fields with the big Witt ring over $\mathbb Z$. We explore relations with motivic measures and a classical formula of Macdonald on invariants of symmetric products of a variety.

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Niranjan Ramachandran. 2014-07-10. Zeta functions, Grothendieck groups, and the Witt ring. https://doi.org/10.1016/j.bulsci.2014.11.004

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