Notes on Crystalline Cohomology. (MN-21) / / Arthur Ogus, Pierre Berthelot.

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 t...

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Bibliographic Details
Superior document:Title is part of eBook package: De Gruyter Princeton Legacy Lib. eBook Package 1931-1979
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Place / Publishing House:Princeton, NJ : : Princeton University Press, , [2015]
©1978
Year of Publication:2015
Language:English
Series:Mathematical Notes ; 21
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Physical Description:1 online resource (256 p.)
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Table of Contents:
  • 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 ΓA(M)
  • Appendix B. Finiteness of ℝlim