Non-Archimedean integrals as limits of complex integrals-Reference-Cited by-同舟云学术

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Non-Archimedean integrals as limits of complex integrals

Published:2023-02-01 Issue:2 Volume:172 Page:
ISSN:0012-7094
Container-title:Duke Mathematical Journal
language:
Short-container-title:Duke Math. J.

Author:

Ducros Antoine¹,Hrushovski Ehud²,Loeser François³

Affiliation:

1. Sorbonne Université, Université Paris-Diderot, CNRS, Institut de Mathématiques de Jussieu-Paris Rive Gauche, Paris, France https://webusers.imj-prg.fr/~antoine.ducros/

2. Mathematical Institute, University of Oxford, Oxford, United Kingdom https://www.maths.ox.ac.uk/people/ehud.hrushovski

3. Institut Universitaire de France, Sorbonne Université, Institut de Mathématiques de Jussieu-Paris Rive Gauche, CNRS, Paris, France https://webusers.imj-prg.fr/~francois.loeser/

Publisher

Duke University Press

Subject

General Mathematics

Reference28 articles.

1. A. H. LIGHTSTONE and A. ROBINSON, Nonarchimedean Fields and Asymptotic Expansions, North-Holland Math. Lib. 13, North-Holland, Amsterdam, 1975.

2. A. BERARDUCCI and M. OTERO, An additive measure in o-minimal expansions of fields, Q. J. Math. 55 (2004), no. 4, 411–419.

3. V. G. BERKOVICH, “A non-Archimedean interpretation of the weight zero subspaces of limit mixed Hodge structures” in Algebra, Arithmetic, and Geometry, Vol. I, Progr. Math. 269, Birkhäuser Boston, Boston, 2009, 49–67.

4. J. BOCHNAK, M. COSTE, and M.-F. ROY, Géométrie algébrique réelle, Ergeb. Math. Grenzgeb. (3) 12, Springer, Berlin, 1987.

5. S. BOUCKSOM and M. JONSSON, Tropical and non-Archimedean limits of degenerating families of volume forms, J. Éc. polytech. Math. 4 (2017), 87–139.

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