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Written by Arthur Ogus on the basis of notes from Pierre Berthelot's seminar on crystalline cohomology at Princeton University in the spring of 1974, this book constitutes an informal introduction to a significant branch of algebraic geometry. Specifically, it provides the basic tools used in the study of crystalline cohomology of algebraic varieties in positive characteristic.Originally published in 1978.The Princeton Legacy Library uses the latest print-on-demand technology to again make available previously out-of-print books from the distinguished backlist of Princeton University Press. These editions preserve the original texts of these important books while presenting them in durable paperback and hardcover editions. The goal of the Princeton Legacy Library is to vastly increase access to the rich scholarly heritage found in the thousands of books published by Princeton University Press since its founding in 1905
Monografía
monografia Rebiun32427500 https://catalogo.rebiun.org/rebiun/record/Rebiun32427500 m|||||o||d|||||||| cr cnu|||||||| 190708s2015 nju fo d z eng d 0-691-62808-4 0-691-64832-8 1-4008-6731-2 10.1515/9781400867318 doi UPVA 998797969103706 CBUC 991013157425106708 DE-B1597 eng DE-B1597 rda eng nju US-NJ Berthelot, Pierre author Notes on Crystalline Cohomology. (MN-21) Pierre Berthelot, Arthur Ogus Princeton, NJ Princeton University Press [2015] Princeton, NJ Princeton, NJ Princeton University Press 2015 1 online resource (256 pages) 1 online resource (256 pages) Mathematical Notes 1534 Bibliographic Level Mode of Issuance: Monograph Includes bibliographical references at the end of each chapters Frontmatter -- Contents -- § 0. Preface -- § 1. Introduction -- § 2. Calculus and Differential Operators -- § 3. Divided Powers -- § 4. Calculus with Divided Powers -- § 5. The Crystalline Topos -- § 6. Crystals -- § 7 . The Cohomology of a Crystal -- § 8. Frobenius and the Hodge Filtration -- Appendix A. The Construction of (SD(BA(M) -- Appendix B. Finiteness of ℝlim Written by Arthur Ogus on the basis of notes from Pierre Berthelot's seminar on crystalline cohomology at Princeton University in the spring of 1974, this book constitutes an informal introduction to a significant branch of algebraic geometry. Specifically, it provides the basic tools used in the study of crystalline cohomology of algebraic varieties in positive characteristic.Originally published in 1978.The Princeton Legacy Library uses the latest print-on-demand technology to again make available previously out-of-print books from the distinguished backlist of Princeton University Press. These editions preserve the original texts of these important books while presenting them in durable paperback and hardcover editions. The goal of the Princeton Legacy Library is to vastly increase access to the rich scholarly heritage found in the thousands of books published by Princeton University Press since its founding in 1905 English Ogus, Arthur author Crystalline cohomology 0-691-08218-9 1-322-88640-7 Princeton legacy library