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Preprints, Working Papers, ... (Preprint) Year : 2022

Non-Archimedean Integrals As Limits Of Complex Integrals

Abstract

We explain how non-archimedean integrals considered by Chambert-Loir and Ducros naturally arise in asymptotics of families of complex integrals. To perform this analysis we work over a non-standard model of the field of complex numbers, which is endowed at the same time with an archimedean and a non-archimedean norm. Our main result states the existence of a natural morphism between bicomplexes of archimedean and non-archimedean forms which is compatible with integration.
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hal-03982417 , version 1 (10-02-2023)

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Antoine Ducros, Ehud Hrushovski, François Loeser. Non-Archimedean Integrals As Limits Of Complex Integrals. 2019. ⟨hal-03982417⟩
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