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 nonstandard 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.
Citation
Antoine Ducros. Ehud Hrushovski. François Loeser. "Non-Archimedean integrals as limits of complex integrals." Duke Math. J. 172 (2) 313 - 386, 1 February 2023. https://doi.org/10.1215/00127094-2022-0052
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