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VOL. 45 | 2006 Rigid geometry and applications
Kazuhiro Fujiwara, Fumiharu Kato

Editor(s) Shigeru Mukai, Yoichi Miyaoka, Shigefumi Mori, Atsushi Moriwaki, Iku Nakamura

Abstract

In this paper we present a survey of rigid geometry. Here, special emphasis is put on the so-called "birational approach" to rigid geometry, which adopts classical methods of birational geometry to the theory of rigid spaces. The paper is divided into three parts. Part I is a general introduction to rigid geometry a la J. Tate and M. Raynaud. In Part II we are to overview the birational approach to rigid geometry, which combines the idea of Raynaud and that of O. Zariski, as one of the conceptual starting points of rigid geometry. In Part III we discuss some applications, which reveal the effectiveness of the ideas in rigid geometry that arise from our viewpoint.

Information

Published: 1 January 2006
First available in Project Euclid: 3 January 2019

zbMATH: 1115.14012
MathSciNet: MR2310255

Digital Object Identifier: 10.2969/aspm/04510327

Rights: Copyright © 2006 Mathematical Society of Japan

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