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Preprint Number 1708
1708. A. Ducros, E. Hrushovski, F. Loeser Non-archimedean integrals as limits of complex integrals E-mail: Submission date: 19 December 2019 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. Mathematics Subject Classification: 14G22, 03C98 (Primary) 03C20, 14T05 (Secondary) Keywords and phrases: |
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