Formal and rigid geometry. II: Flattening techniques
type: Item
instance of: scholarly article
title: Formal and rigid geometry. II: Flattening techniques
zbMATH Open document ID: 0808.14018
DOI: 10.1007/BF01445112
author: Siegfried Bosch
author: Werner Lütkebohmert
published in: Mathematische Annalen
publication date: 1994-05-31T00:00:00Z
full work available at URL: https://eudml.org/doc/165092
review text: This is a sequel to part I by the same authors [cf. Math. Ann. 295, No. 2, 291-317 (1993; see the preceding review)]. The main theorem, which was announced by Raynaud, says that a flat morphism between quasi-compact rigid spaces is induced by a flat morphism between suitable formal schemes. The theorem is proved in the general situation in which the base is an arbitrary complete noetherian ring. -- The proof of the theorem is an application of techniques which are developed in the first part of the paper. These include lifting techniques in formal geometry and the flattening technique of Gruson and Raynaud.
Mathematics Subject Classification ID: 14G20
Mathematics Subject Classification ID: 11G25
zbMATH DE Number: 537259
zbMATH Keywords: flat morphism between quasi-compact rigid spaces
zbMATH Keywords: formal schemes
zbMATH Keywords: formal geometry
reviewed by: Guido Van Steen
MaRDI profile type: Publication
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OpenAlex ID: W2335768918
description: scientific article; zbMATH DE number 537259