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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 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.
Publication status:
Published
Peer review status:
Peer reviewed

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Publisher copy:
10.1215/00127094-2022-0052

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Institution:
University of Oxford
Division:
MPLS
Department:
Mathematical Institute
Role:
Author
ORCID:
0000-0002-2761-6513
Publisher:
Duke University Press
Journal:
Duke Mathematical Journal More from this journal
Volume:
172
Issue:
2
Pages:
313-386
Publication date:
2023-01-17
Acceptance date:
2022-02-03
DOI:
EISSN:
1547-7398
ISSN:
0012-7094
Language:
English
Keywords:
Pubs id:
1079632
Local pid:
pubs:1079632
Deposit date:
2020-02-05

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