Non-archimedean integrals as limits of complex integrals
Algebraic Geometry
2023-08-22 v4 Logic
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.
Cite
@article{arxiv.1912.09162,
title = {Non-archimedean integrals as limits of complex integrals},
author = {A. Ducros and E. Hrushovski and F. Loeser},
journal= {arXiv preprint arXiv:1912.09162},
year = {2023}
}
Comments
69 pages