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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| Place / Publishing House: | Princeton, NJ : : Princeton University Press, , [2015] ©1978 |
| Year of Publication: | 2015 |
| Language: | English |
| Series: | Mathematical Notes ;
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Berthelot, Pierre, author. aut http://id.loc.gov/vocabulary/relators/aut Notes on Crystalline Cohomology. (MN-21) / Arthur Ogus, Pierre Berthelot. Princeton, NJ : Princeton University Press, [2015] ©1978 1 online resource (256 p.) text txt rdacontent computer c rdamedia online resource cr rdacarrier text file PDF rda Mathematical Notes ; 21 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 restricted access http://purl.org/coar/access_right/c_16ec online access with authorization star 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. Issued also in print. Mode of access: Internet via World Wide Web. In English. Description based on online resource; title from PDF title page (publisher's Web site, viewed 31. Jan 2022) Functions, Zeta. Geometry, Algebraic. Homology theory. MATHEMATICS / Topology. bisacsh Abelian category. Additive map. Adjoint functors. Adjunction (field theory). Adjunction formula. Alexander Grothendieck. Algebra homomorphism. Artinian. Automorphism. Axiom. Banach space. Base change map. Base change. Betti number. Calculation. Cartesian product. Category of abelian groups. Characteristic polynomial. Characterization (mathematics). Closed immersion. Codimension. Coefficient. Cohomology. Cokernel. Commutative diagram. Commutative property. Commutative ring. Compact space. Corollary. Crystalline cohomology. De Rham cohomology. Degeneracy (mathematics). Derived category. Diagram (category theory). Differential operator. Discrete valuation ring. Divisibility rule. Dual basis. Eigenvalues and eigenvectors. Endomorphism. Epimorphism. Equation. Equivalence of categories. Exact sequence. Existential quantification. Explicit formula. Explicit formulae (L-function). Exponential type. Exterior algebra. Exterior derivative. Formal power series. Formal scheme. Frobenius endomorphism. Functor. Fundamental theorem. Hasse invariant. Hodge theory. Homotopy. Ideal (ring theory). Initial and terminal objects. Inverse image functor. Inverse limit. Inverse system. K-theory. Leray spectral sequence. Linear map. Linearization. Locally constant function. Mapping cone (homological algebra). Mathematical induction. Maximal ideal. Module (mathematics). Monomial. Monotonic function. Morphism. Natural transformation. Newton polygon. Noetherian ring. Noetherian. P-adic number. Polynomial. Power series. Presheaf (category theory). Projective module. Scientific notation. Series (mathematics). Sheaf (mathematics). Sheaf of modules. Special case. Spectral sequence. Subring. Subset. Symmetric algebra. Theorem. Topological space. Topology. Topos. Transitive relation. Universal property. Zariski topology. Ogus, Arthur, author. aut http://id.loc.gov/vocabulary/relators/aut Title is part of eBook package: De Gruyter Princeton Legacy Lib. eBook Package 1931-1979 9783110426847 Title is part of eBook package: De Gruyter Princeton Legacy Lib. eBook Package Science 9783110413595 Title is part of eBook package: De Gruyter Princeton Mathematical Notes eBook-Package 1970-2016 9783110494921 ZDB-23-PMN Title is part of eBook package: De Gruyter Princeton University Press Complete eBook-Package 2014-2015 9783110665925 Title is part of eBook package: De Gruyter Princeton University Press eBook-Package Archive 1927-1999 9783110442496 print 9780691628080 https://doi.org/10.1515/9781400867318 https://www.degruyter.com/isbn/9781400867318 Cover https://www.degruyter.com/document/cover/isbn/9781400867318/original |
| language |
English |
| format |
eBook |
| author |
Berthelot, Pierre, Berthelot, Pierre, Ogus, Arthur, |
| spellingShingle |
Berthelot, Pierre, Berthelot, Pierre, Ogus, Arthur, Notes on Crystalline Cohomology. (MN-21) / Mathematical Notes ; 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 |
| author_facet |
Berthelot, Pierre, Berthelot, Pierre, Ogus, Arthur, Ogus, Arthur, Ogus, Arthur, |
| author_variant |
p b pb p b pb a o ao |
| author_role |
VerfasserIn VerfasserIn VerfasserIn |
| author2 |
Ogus, Arthur, Ogus, Arthur, |
| author2_variant |
a o ao |
| author2_role |
VerfasserIn VerfasserIn |
| author_sort |
Berthelot, Pierre, |
| title |
Notes on Crystalline Cohomology. (MN-21) / |
| title_full |
Notes on Crystalline Cohomology. (MN-21) / Arthur Ogus, Pierre Berthelot. |
| title_fullStr |
Notes on Crystalline Cohomology. (MN-21) / Arthur Ogus, Pierre Berthelot. |
| title_full_unstemmed |
Notes on Crystalline Cohomology. (MN-21) / Arthur Ogus, Pierre Berthelot. |
| title_auth |
Notes on Crystalline Cohomology. (MN-21) / |
| title_alt |
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 |
| title_new |
Notes on Crystalline Cohomology. (MN-21) / |
| title_sort |
notes on crystalline cohomology. (mn-21) / |
| series |
Mathematical Notes ; |
| series2 |
Mathematical Notes ; |
| publisher |
Princeton University Press, |
| publishDate |
2015 |
| physical |
1 online resource (256 p.) Issued also in print. |
| 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 |
| isbn |
9781400867318 9783110426847 9783110413595 9783110494921 9783110665925 9783110442496 9780691628080 |
| callnumber-first |
Q - Science |
| callnumber-subject |
QA - Mathematics |
| callnumber-label |
QA564 |
| callnumber-sort |
QA 3564 B46 41978EB |
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https://doi.org/10.1515/9781400867318 https://www.degruyter.com/isbn/9781400867318 https://www.degruyter.com/document/cover/isbn/9781400867318/original |
| illustrated |
Not Illustrated |
| dewey-hundreds |
500 - Science |
| dewey-tens |
510 - Mathematics |
| dewey-ones |
512 - Algebra |
| dewey-full |
512/.33 |
| dewey-sort |
3512 233 |
| dewey-raw |
512/.33 |
| dewey-search |
512/.33 |
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Notes on Crystalline Cohomology. (MN-21) / |
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