2024/10/14 by Lothar Sebastian Krapp, Krapp, Lothar Sebastian, Salma Kuhlmann +3
Economics, Econometrics and Finance · Mathematics · #Advanced Topology and Set Theory #Commutative Algebra (math.AC) #Economic theories and models #FOS: Mathematics #Logic (math.LO) #Primary 12J10 03C45 #Secondary 03C60 03C40 13J30 16W60 12L12 #Stochastic processes and financial applications
paper · pdf · doi:10.48550/arxiv.2410.10344
openalex publication_date 2024/10/14 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We give an explicit algebraic characterisation of all definable henselian valuations on a dp-minimal real field. Additionally we characterise all dp-minimal real fields that admit a definable henselian valuation with real closed residue field. We do so by first proving this for the more general setting of almost real closed fields.