Abstract
The non-Archimedean analytic spaces are studied. We extend to the general case notions and results defined earlier only for strictly analytic spaces. In particular, we prove that any strictly analytic space admits a unique rigid model.
Similar content being viewed by others
References
V. G. Berkovich,Spectral Theory and Analytic Geometry Over Non-Archimedean Fields, Mathematical Surveys and Monographs, Vol. 33, American Mathematical Society, Providence, RI, 1990.
V. G. Berkovich,Étale cohomology for non-Archimedean analytic spaces, Publications Mathématiques de l’Institut des Hautes Études Scientifiques78 (1993), 5–161.
S. Bosch, U. Güntzer and R. Remmert,Non-Archimedean Analysis. A Systematic Approach to Rigid Analytic Geometry, Springer, Berlin-Heidelberg-New York, 1984.
S. Bosch,Orthonormalbasen in der nichtarchimedean Funktionentheorie, Manuscripta Mathematica1 (1969), 35–57.
N. Bourbaki,Algèbre commutative, Hermann, Paris, 1961.
R. Huber,Étale Cohomology of Rigid Analytic Varieties and Adic Spaces, Aspects of Mathematics, Vol. 30, Vieweg, Braunschweig, 1996.
H. Matsumura,Commutative Ring Theory, Cambridge Studies in Advanced Mathematics, 8, Cambridge University Press, 1989.
M. Temkin,On local properties of non-Archimedean analytic spaces, Mathematische Annalen318 (2000), 585–607.
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Temkin, M. On local properties of non-Archimedean analytic spaces II. Isr. J. Math. 140, 1–27 (2004). https://doi.org/10.1007/BF02786625
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF02786625