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Foundations of Rigid Geometry I

Fujiwara, Kazuhiro,

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Foundations of Rigid Geometry I

紀錄類型:	書目-電子資源 : Monograph/item
正題名/作者:	Foundations of Rigid Geometry I/ Kazuhiro Fujiwara, Fumiharu Kato
作者:	Fujiwara, Kazuhiro,
其他作者:	Kato, Fumiharu,
出版者:	Zuerich, Switzerland :European Mathematical Society Publishing House, : 2018,
面頁冊數:	1 online resource (863 pages)
標題:	Number theory - Problems, exercises, etc. -
電子資源:	https://doi.org/10.4171/135
電子資源:	https://www.ems-ph.org/img/books/fujiwara_mini.jpg
ISBN:	9783037196359

Foundations of Rigid Geometry I
Fujiwara, Kazuhiro,

Foundations of Rigid Geometry I[electronic resource] /Kazuhiro Fujiwara, Fumiharu Kato - Zuerich, Switzerland :European Mathematical Society Publishing House,2018 - 1 online resource (863 pages) - EMS Monographs in Mathematics (EMM) ;2523-5192.

Restricted to subscribers:https://www.ems-ph.org/ebooks.php

Rigid geometry is one of the modern branches of algebraic and arithmetic geometry. It has its historical origin in J. Tate's rigid analytic geometry, which aimed at developing an analytic geometry over non-archimedean valued fields. Nowadays, rigid geometry is a discipline in its own right and has acquired vast and rich structures, based on discoveries of its relationship with birational and formal geometries. In this research monograph, foundational aspects of rigid geometry are discussed, putting emphasis on birational and topological features of rigid spaces. Besides the rigid geometry itself, topics include the general theory of formal schemes and formal algebraic spaces, based on a theory of complete rings which are not necessarily Noetherian. Also included is a discussion on the relationship with Tate's original rigid analytic geometry, V.G. Berkovich's analytic geometry and R. Huber's adic spaces. As a model example of applications, a proof of Nagata's compactification theorem for schemes is given in the appendix. The book is encyclopedic and almost self-contained.

ISBN: 9783037196359

Standard No.: 10.4171/135doiSubjects--Topical Terms:

1232300
Number theory
--Problems, exercises, etc.

Foundations of Rigid Geometry I
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