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Preprint Number 1131

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1131. Martin Hils, Moshe Kamensky and Silvain Rideau
Imaginaries in separably closed valued fields
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Submission date: 7 December 2016

Abstract:

We show that separably closed valued fields of finite imperfection degree (either with lambda-functions or commuting Hasse derivations) eliminate imaginaries in the geometric language. We then use this classification of interpretable sets to study stably dominated types in those structures. We show that separably closed valued fields of finite imperfection degree are metastable and that the space of stably dominated types is strict pro-definable.

Mathematics Subject Classification: 12J20, 03C10, 03C98

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Full text arXiv 1612.02142: pdf, ps.


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