Zeta functions, Grothendieck groups, and the Witt ring
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.
- Publication:
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arXiv e-prints
- Pub Date:
- July 2014
- DOI:
- 10.48550/arXiv.1407.1813
- arXiv:
- arXiv:1407.1813
- Bibcode:
- 2014arXiv1407.1813R
- Keywords:
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- Mathematics - Number Theory;
- Mathematics - Algebraic Geometry;
- Mathematics - K-Theory and Homology;
- 11Mxx 14G15
- E-Print:
- 23 pages, submitted for publication. Added reference to Niko Naumann's work. Comments welcome