Almost Ring Theory
By addebook • Jun 28th, 2008 • Category: Mathematics
Almost Ring Theory (Lecture Notes in Mathematics)
By Ofer Gabber, Lorenzo Ramero,
Publisher: Springer
Number Of Pages: 307
Publication Date: 2003-09-29
Sales Rank: 3144065
ISBN / ASIN: 3540405941
EAN: 9783540405948
Binding: Paperback
Manufacturer: Springer
Studio: Springer
This book develops 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 “almost 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.Password:
Type:PDF
Size:4Mb
MD5:fa52b8d4aa11655bd30080ebc526b521
http://rapidshare.com/files/42232699/Almost_Ring_Theory.zip
Related Posts
Leave a Reply
You must be logged in to post a comment.
