publication . Article . Preprint . 2018

Imaginaries in separably closed valued fields

Martin Hils; Moshe Kamensky; Silvain Rideau;
Open Access English
  • Published: 01 Jun 2018
  • Publisher: HAL CCSD
  • Country: France
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.
Persistent Identifiers
free text keywords: [MATH.MATH-LO]Mathematics [math]/Logic [math.LO], Mathematics - Logic, 12J20, 03C10, 03C98, General Mathematics, Algebra, Mathematics
Funded by
Model Theory and asymptotic geometry
  • Funder: European Commission (EC)
  • Project Code: 291111
  • Funding stream: FP7 | SP2 | ERC
ANR| ValCoMo
Valuations, Combinatorics and Model Theory
  • Funder: French National Research Agency (ANR) (ANR)
  • Project Code: ANR-13-BS01-0006
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