Journal article
Definable equivalence relations and zeta functions of groups (with an appendix by Raf Cluckers)
- Abstract:
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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 functions arising from definable equivalence relations. This also yields analogous results for definable equivalence relations over local fields of positive characteristic. The appendix contains an alter...
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- Publication status:
- Published
- Peer review status:
- Peer reviewed
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(Accepted manuscript, 694.3KB)
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- Publisher copy:
- 10.4171/JEMS/817
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Authors
Bibliographic Details
- Publisher:
- European Mathematical Society Publishing House Publisher's website
- Journal:
- Journal of the European Mathematical Society Journal website
- Volume:
- 20
- Issue:
- 10
- Pages:
- 2467-2537
- Publication date:
- 2018-07-18
- Acceptance date:
- 2017-06-25
- DOI:
- EISSN:
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1435-9863
- ISSN:
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1435-9855
Item Description
- Language:
- English
- Keywords:
- Pubs id:
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918913
- Local pid:
- pubs:918913
- Deposit date:
- 2020-02-05
Terms of use
- Copyright holder:
- European Mathematical Society
- Copyright date:
- 2018
- Rights statement:
- © European Mathematical Society 2018
- Notes:
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This is the accepted manuscript version of the article. The final version is available online from
European Mathematical Society Publishing House at: https://doi.org/10.4171/JEMS/817
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