E-Book, Englisch, Band 21, 256 Seiten
Berthelot / Ogus Notes on Crystalline Cohomology
1. Auflage 2015
ISBN: 978-1-4008-6731-8
Verlag: De Gruyter
Format: PDF
Kopierschutz: Adobe DRM (»Systemvoraussetzungen)
E-Book, Englisch, Band 21, 256 Seiten
Reihe: Mathematical NotesPrinceton Legacy Library
ISBN: 978-1-4008-6731-8
Verlag: De Gruyter
Format: PDF
Kopierschutz: Adobe DRM (»Systemvoraussetzungen)
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.
Autoren/Hrsg.
Weitere Infos & Material
Frontmatter, pg. i
Contents, pg. iii
§ 0. Preface, pg. v
§ 1. Introduction, pg. 1
§ 2. Calculus and Differential Operators, pg. 15
§ 3. Divided Powers, pg. 38
§ 4. Calculus with Divided Powers, pg. 61
§ 5. The Crystalline Topos, pg. 74
§ 6. Crystals, pg. 103
§ 7. The Cohomology of a Crystal, pg. 126
§ 8. Frobenius and the Hodge Filtration, pg. 161
Appendix A. The Construction of GA(M), pg. 211
Appendix B. Finiteness of Rlim, pg. 226
