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- catalog abstract ""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 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."--Jacket.".
- catalog contributor b12982205.
- catalog contributor b12982206.
- catalog created "c2003.".
- catalog date "2003".
- catalog date "c2003.".
- catalog dateCopyrighted "c2003.".
- catalog description ""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 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."--Jacket.".
- catalog description "1. Introduction -- 2. Homological theory -- 3. Almost ring theory -- 4. Fine study of almost projective modules -- 5. Henselization and completion of almost algebras -- 6. Valuation theory -- 7. Analytic geometry -- 8. Appendix.".
- catalog description "Includes bibliographical references (p. [301]-303) and index.".
- catalog extent "vi, 307 p. ;".
- catalog hasFormat "Also available in an electronic version.".
- catalog identifier "3540405941 (softcover : alk. paper)".
- catalog isFormatOf "Also available in an electronic version.".
- catalog isPartOf "Lecture notes in mathematics (Springer-Verlag) ; 1800.".
- catalog isPartOf "Lecture notes in mathematics, 0075-8434 ; 1800".
- catalog issued "2003".
- catalog issued "c2003.".
- catalog language "eng".
- catalog publisher "Berlin ; New York : Springer,".
- catalog relation "Also available in an electronic version.".
- catalog subject "510 s 512/.44 22".
- catalog subject "Arithmetical algebraic geometry.".
- catalog subject "Categories (Mathematics)".
- catalog subject "Commutative rings.".
- catalog subject "QA3 .L28 no. 1800 QA251.3".
- catalog subject "Valuation theory.".
- catalog tableOfContents "1. Introduction -- 2. Homological theory -- 3. Almost ring theory -- 4. Fine study of almost projective modules -- 5. Henselization and completion of almost algebras -- 6. Valuation theory -- 7. Analytic geometry -- 8. Appendix.".
- catalog title "Almost ring theory / Ofer Gabber, Lorenzo Ramero.".
- catalog type "Computer network resources. local".
- catalog type "Electronic books. lcsh".
- catalog type "text".