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math.NT2024
Lang-Weil Type Estimates in Finite Difference Fields
Martin Hils, Ehud Hrushovski, Jinhe Ye +1
We prove a uniform estimate of the number of points for difference algebraic varieties in finite difference fields in the spirit of Lang-Weil. More precisely, we give uniform lower…
math.LO2024
Zilber's Trichotomy in Hausdorff Geometric Structures
Benjamin Castle, Assaf Hasson, Jinhe Ye
We give a new axiomatic treatment of the Zilber trichotomy, and use it to complete the proof of the trichotomy for relics of algebraically closed fields, i.e., reducts of the ACF-i…
math.LO2024
Hyperbolicity and model-complete fields
Michał 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…