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Preprint Number 1708

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1708. A. Ducros, E. Hrushovski, F. Loeser
Non-archimedean integrals as limits of complex integrals
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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:

Full text arXiv 1912.09162: pdf, ps.


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