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Synopsis
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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- PublisherSpringer
- Publication date2003
- ISBN 10 3540405941
- ISBN 13 9783540405948
- BindingPaperback
- LanguageEnglish
- Number of pages324
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Almost Ring Theory (Lecture Notes in Mathematics, 1800)
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Almost Ring Theory
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Springer Berlin Heidelberg Aug 2003, 2003
ISBN 10: 3540405941
ISBN 13: 9783540405948
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Taschenbuch. Condition: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -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 ofan '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. 324 pp. Englisch. Seller Inventory # 9783540405948
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Almost Ring Theory
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ISBN 10: 3540405941
ISBN 13: 9783540405948
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Taschenbuch. Condition: Neu. Druck auf Anfrage Neuware - Printed after ordering - 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 ofan '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. Seller Inventory # 9783540405948
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Almost Ring Theory
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ISBN 10: 3540405941
ISBN 13: 9783540405948
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Kartoniert / Broschiert. Condition: New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. 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 uni. Seller Inventory # 4888851
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Almost Ring Theory (Lecture Notes in Mathematics, 1800)
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