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math.LO2025
Hyperbolicity and model-complete fields
MichaÅ Szachniewicz, Jinhe Ye
We study model-complete fields that avoid a given quasi-project variety . There is a close connection between hyperbolicity of and the existence of the model companion for t…
math.LO2024
Globally valued fields: foundations
Itaï Ben Yaacov, Pablo Destic, Ehud Hrushovski +1
We present foundations of globally valued fields, i.e., of a class of fields with an extra structure, capturing some aspects of the geometry of global fields, based on the product…