Erschienen: 11.08.2003 Abbildung von Gabber / Ramero | Almost Ring Theory | 2003 | 1800

Gabber / Ramero

Almost Ring Theory

lieferbar ca. 10 Tage als Sonderdruck ohne Rückgaberecht

2003. Buch. vi, 318 S. Bibliographien. Softcover

Springer. ISBN 978-3-540-40594-8

Format (B x L): 15,5 x 23,5 cm

Gewicht: 1010 g

In englischer Sprache

Das Werk ist Teil der Reihe: Lecture Notes in Mathematics; 1800

Produktbeschreibung

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.

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