Notes on Crystalline Cohomology. (MN-21) /

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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Superior document:Title is part of eBook package: De Gruyter Princeton Legacy Lib. eBook Package 1931-1979
VerfasserIn:
Berthelot, Pierre,
Ogus, Arthur,
Place / Publishing House:Princeton, NJ : : Princeton University Press, , [2015]
©1978
Year of Publication:2015
Language:English
Series:Mathematical Notes ; 21
Online Access:
Physical Description:1 online resource (256 p.)
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050 4 |a QA564  |b .B46 1978eb 
072 7 |a MAT038000  |2 bisacsh 
082 0 4 |a 512/.33 
100 1 |a Berthelot, Pierre,   |e author.  |4 aut  |4 http://id.loc.gov/vocabulary/relators/aut 
245 1 0 |a Notes on Crystalline Cohomology. (MN-21) /  |c Arthur Ogus, Pierre Berthelot. 
264 1 |a Princeton, NJ :   |b Princeton University Press,   |c [2015] 
264 4 |c ©1978 
300 |a 1 online resource (256 p.) 
336 |a text  |b txt  |2 rdacontent 
337 |a computer  |b c  |2 rdamedia 
338 |a online resource  |b cr  |2 rdacarrier 
347 |a text file  |b PDF  |2 rda 
490 0 |a Mathematical Notes ;  |v 21 
505 0 0 |t Frontmatter --   |t Contents --   |t § 0. Preface --   |t § 1. Introduction --   |t § 2. Calculus and Differential Operators --   |t § 3. Divided Powers --   |t § 4. Calculus with Divided Powers --   |t § 5. The Crystalline Topos --   |t § 6. Crystals --   |t § 7 . The Cohomology of a Crystal --   |t § 8. Frobenius and the Hodge Filtration --   |t Appendix A. The Construction of ΓA(M) --   |t Appendix B. Finiteness of ℝlim 
506 0 |a restricted access  |u http://purl.org/coar/access_right/c_16ec  |f online access with authorization  |2 star 
520 |a 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. 
530 |a Issued also in print. 
538 |a Mode of access: Internet via World Wide Web. 
546 |a In English. 
588 0 |a Description based on online resource; title from PDF title page (publisher's Web site, viewed 31. Jan 2022) 
650 0 |a Functions, Zeta. 
650 0 |a Geometry, Algebraic. 
650 0 |a Homology theory. 
650 7 |a MATHEMATICS / Topology.  |2 bisacsh 
653 |a Abelian category. 
653 |a Additive map. 
653 |a Adjoint functors. 
653 |a Adjunction (field theory). 
653 |a Adjunction formula. 
653 |a Alexander Grothendieck. 
653 |a Algebra homomorphism. 
653 |a Artinian. 
653 |a Automorphism. 
653 |a Axiom. 
653 |a Banach space. 
653 |a Base change map. 
653 |a Base change. 
653 |a Betti number. 
653 |a Calculation. 
653 |a Cartesian product. 
653 |a Category of abelian groups. 
653 |a Characteristic polynomial. 
653 |a Characterization (mathematics). 
653 |a Closed immersion. 
653 |a Codimension. 
653 |a Coefficient. 
653 |a Cohomology. 
653 |a Cokernel. 
653 |a Commutative diagram. 
653 |a Commutative property. 
653 |a Commutative ring. 
653 |a Compact space. 
653 |a Corollary. 
653 |a Crystalline cohomology. 
653 |a De Rham cohomology. 
653 |a Degeneracy (mathematics). 
653 |a Derived category. 
653 |a Diagram (category theory). 
653 |a Differential operator. 
653 |a Discrete valuation ring. 
653 |a Divisibility rule. 
653 |a Dual basis. 
653 |a Eigenvalues and eigenvectors. 
653 |a Endomorphism. 
653 |a Epimorphism. 
653 |a Equation. 
653 |a Equivalence of categories. 
653 |a Exact sequence. 
653 |a Existential quantification. 
653 |a Explicit formula. 
653 |a Explicit formulae (L-function). 
653 |a Exponential type. 
653 |a Exterior algebra. 
653 |a Exterior derivative. 
653 |a Formal power series. 
653 |a Formal scheme. 
653 |a Frobenius endomorphism. 
653 |a Functor. 
653 |a Fundamental theorem. 
653 |a Hasse invariant. 
653 |a Hodge theory. 
653 |a Homotopy. 
653 |a Ideal (ring theory). 
653 |a Initial and terminal objects. 
653 |a Inverse image functor. 
653 |a Inverse limit. 
653 |a Inverse system. 
653 |a K-theory. 
653 |a Leray spectral sequence. 
653 |a Linear map. 
653 |a Linearization. 
653 |a Locally constant function. 
653 |a Mapping cone (homological algebra). 
653 |a Mathematical induction. 
653 |a Maximal ideal. 
653 |a Module (mathematics). 
653 |a Monomial. 
653 |a Monotonic function. 
653 |a Morphism. 
653 |a Natural transformation. 
653 |a Newton polygon. 
653 |a Noetherian ring. 
653 |a Noetherian. 
653 |a P-adic number. 
653 |a Polynomial. 
653 |a Power series. 
653 |a Presheaf (category theory). 
653 |a Projective module. 
653 |a Scientific notation. 
653 |a Series (mathematics). 
653 |a Sheaf (mathematics). 
653 |a Sheaf of modules. 
653 |a Special case. 
653 |a Spectral sequence. 
653 |a Subring. 
653 |a Subset. 
653 |a Symmetric algebra. 
653 |a Theorem. 
653 |a Topological space. 
653 |a Topology. 
653 |a Topos. 
653 |a Transitive relation. 
653 |a Universal property. 
653 |a Zariski topology. 
700 1 |a Ogus, Arthur,   |e author.  |4 aut  |4 http://id.loc.gov/vocabulary/relators/aut 
773 0 8 |i Title is part of eBook package:  |d De Gruyter  |t Princeton Legacy Lib. eBook Package 1931-1979  |z 9783110426847 
773 0 8 |i Title is part of eBook package:  |d De Gruyter  |t Princeton Legacy Lib. eBook Package Science  |z 9783110413595 
773 0 8 |i Title is part of eBook package:  |d De Gruyter  |t Princeton Mathematical Notes eBook-Package 1970-2016  |z 9783110494921  |o ZDB-23-PMN 
773 0 8 |i Title is part of eBook package:  |d De Gruyter  |t Princeton University Press Complete eBook-Package 2014-2015  |z 9783110665925 
773 0 8 |i Title is part of eBook package:  |d De Gruyter  |t Princeton University Press eBook-Package Archive 1927-1999  |z 9783110442496 
776 0 |c print  |z 9780691628080 
856 4 0 |u https://doi.org/10.1515/9781400867318 
856 4 0 |u https://www.degruyter.com/isbn/9781400867318 
856 4 2 |3 Cover  |u https://www.degruyter.com/document/cover/isbn/9781400867318/original 
912 |a 978-3-11-041359-5 Princeton Legacy Lib. eBook Package Science 
912 |a 978-3-11-042684-7 Princeton Legacy Lib. eBook Package 1931-1979  |c 1931  |d 1979 
912 |a 978-3-11-044249-6 Princeton University Press eBook-Package Archive 1927-1999  |c 1927  |d 1999 
912 |a 978-3-11-066592-5 Princeton University Press Complete eBook-Package 2014-2015  |c 2014  |d 2015 
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