15 citations · 173 across the 43 of their papers we have counts for
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Definability of henselian valuations by conditions on the value group
Lothar Sebastian Krapp, Salma Kuhlmann, Moritz Link
Given a henselian valuation, we study its definability (with and without parameters) by examining conditions on the value group. We show that any henselian valuation whose value gr…
Ordered fields dense in their real closure and definable convex valuations
Lothar Sebastian Krapp, Salma Kuhlmann, Gabriel Lehéricy
In this paper, we undertake a systematic model and valuation theoretic study of the class of ordered fields which are dense in their real closure. We apply this study to determine…
Strongly NIP almost real closed fields
Lothar Sebastian Krapp, Salma Kuhlmann, Gabriel Lehéricy
The following conjecture is due to Shelah-Hasson: Any infinite strongly NIP field is either real closed, algebraically closed, or admits a non-trivial definable henselian valuation…
On Strongly NIP Ordered Fields and Definable Convex Valuations
Lothar Sebastian Krapp, Salma Kuhlmann, Gabriel Lehéricy
We investigate what henselian valuations on ordered fields are definable in the language of ordered rings. This leads towards a systematic study of the class of ordered fields whic…
Exponential fields and Conway's omega-map
Alessandro Berarducci, Salma Kuhlmann, Vincenzo Mantova +1
Inspired by Conway's surreal numbers, we study real closed fields whose value group is isomorphic to the additive reduct of the field. We call such fields omega-fields and we prove…
Definable Valuations induced by multiplicative subgroups and NIP Fields
Katharina Dupont, Assaf Hasson, Salma Kuhlmann
We study the algebraic implications of the non-independence property (NIP) and variants thereof (dp-minimality) on infinite fields, motivated by the conjecture that all such fields…