Almost ring theory

＜図書＞
Almost ring theory

責任表示	Ofer Gabber, Lorenzo Ramero
シリーズ	Lecture notes in mathematics ; 1800
データ種別	図書
出版情報	Berlin ; Tokyo : Springer , c2003
本文言語	英語
大きさ	vi, 307 p. : ill. ; 24 cm
概要	The authors develop thorough and complete foundations for the method of almost etale extensions, which is at the basis of Faltings' approach to p-adic Hodge theory. The central notion is that of an "...lmost ring." Almost rings are the commutative unitary monoids in a tensor category obtained as a quotient V-Mod/S of the category V-Mod of modules over a fixed ring V; the subcategory S consists of all modules annihilated by a fixed ideal m of V, satisfying certain natural conditions. The reader is assumed to be familiar with general categorical notions, some basic commutative algebra and some advanced homological algebra (derived categories, simplicial methods). Apart from these general prerequisites, the text is as self-contained as possible. One novel feature of the book - compared with Faltings' earlier treatment - is the systematic exploitation of the cotangent complex, especially for the study of deformations of almost algebras. 続きを見る
電子版へのリンク	https://hdl.handle.net/2324/7006656

一般注記	Bibliography: p. [301]-303 Includes index
著者標目	*Gabber, Ofer Ramero, Lorenzo
書誌ID	1001386086
ISBN	3540405941
NCID	BA6327511X
巻冊次	ISBN:3540405941
登録日	2009.11.02
更新日	2017.02.18