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arXiv · 1612.02142

Imaginaries in separably closed valued fields

Martin Hils·Moshe Kamensky·Silvain Rideau
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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.

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Martin Hils, Moshe Kamensky, Silvain Rideau. 2016-12-07. Imaginaries in separably closed valued fields. https://doi.org/10.1112/plms.12116

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