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Dive into the research topics where Franziska Jahnke is active.

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Featured researches published by Franziska Jahnke.


Journal of Symbolic Logic | 2017

DP-MINIMAL VALUED FIELDS

Franziska Jahnke; Pierre Simon; Erik Walsberg

We show that dp-minimal valued fields are henselian and that a dp-minimal field admitting a definable type V topology is either real closed, algebraically closed or admits a non-trivial definable henselian valuation. We give classifications of dp-minimal ordered abelian groups and dp-minimal ordered fields without additional structure.


Journal of Symbolic Logic | 2015

Definable Henselian valuations

Franziska Jahnke; Jochen Koenigsmann

In this note we investigate the question when a henselian valued field carries a nontrivial ∅-definable henselian valuation (in the language of rings). This is clearly not possible when the field is either separably or real closed, and, by the work of Prestel and Ziegler, there are further examples of henselian valued fields which do not admit a ∅-definable nontrivial henselian valuation. We give conditions on the residue field which ensure the existence of a parameter-free definition. In particular, we show that a henselian valued field admits a nontrivial henselian ∅-definable valuation when the residue field is separably closed or sufficiently nonhenselian, or when the absolute Galois group of the (residue) field is nonuniversal.


Annals of Pure and Applied Logic | 2015

Uniformly defining p-henselian valuations☆

Franziska Jahnke; Jochen Koenigsmann

Admitting a non-trivial


Mathematical Logic Quarterly | 2015

On the quantifier complexity of definable canonical Henselian valuations

Arno Fehm; Franziska Jahnke

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arXiv: Logic | 2017

Defining Coarsenings of Valuations

Franziska Jahnke; Jochen Koenigsmann

-henselian valuation is a weaker assumption on a field than admitting a non-trivial henselian valuation. Unlike henselianity,


Annals of Pure and Applied Logic | 2018

Henselianity in the language of rings

Sylvy Anscombe; Franziska Jahnke

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Mathematical Logic Quarterly | 2015

A definable Henselian valuation with high quantifier complexity

Immanuel Halupczok; Franziska Jahnke

-henselianity is an elementary property in the language of rings. We are interested in the question when a field admits a non-trivial 0-definable


Israel Journal of Mathematics | 2016

Fields with almost small absolute Galois group

Arno Fehm; Franziska Jahnke

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arXiv: Logic | 2016

NIP henselian valued fields

Franziska Jahnke; Pierre Simon

-henselian valuation (in the language of rings). We give a classification of elementary classes of fields in which the canonical


arXiv: Logic | 2018

A Conjectural Classification of Strongly Dependent Fields

Yatir Halevi; Assaf Hasson; Franziska Jahnke

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Arno Fehm

University of Konstanz

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Sylvy Anscombe

University of Central Lancashire

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Katrin Tent

University of Münster

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Assaf Hasson

Ben-Gurion University of the Negev

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Daniel Palacín

Hebrew University of Jerusalem

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Yatir Halevi

Hebrew University of Jerusalem

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