Definable equivalence relations and zeta functions of groups (with an appendix by Raf Cluckers)
We prove that the theory of the p-adics Qp admits elimination of imaginaries provided we add a sort for GLn(Qp)/GLn(Zp) for each n. We also prove that the elimination of imaginaries is uniform in p. Using p-adic and motivic integration, we deduce the uniform rationality of certain formal zeta functi...
| Main Authors: | , , |
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| Format: | Journal article |
| Language: | English |
| Published: |
European Mathematical Society Publishing House
2018
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