Almost Ring Theory - Lecture Notes in Mathematics - Ofer Gabber - Knihy - Springer-Verlag Berlin and Heidelberg Gm - 9783540405948 - 11. augusta 2003
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Ofer Gabber
Almost Ring Theory - Lecture Notes in Mathematics 2003 edition

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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 "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.

318 pages, biography

Médium Knihy     Paperback Book   (Kniha s mäkkou väzbou a lepeným chrbtom)
Vydané 11. augusta 2003
ISBN13 9783540405948
Vydavatelia Springer-Verlag Berlin and Heidelberg Gm
Strany 318
Rozmery 156 × 234 × 17 mm   ·   453 g
Jazyk Angličtina   Nemčina  

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