MARC details
| 000 -LEADER |
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| fixed length control field |
01976nam a2200289 4500 |
| 003 - CONTROL NUMBER IDENTIFIER |
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| control field |
ISI Library, Kolkata |
| 005 - DATE AND TIME OF LATEST TRANSACTION |
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| control field |
20210921111109.0 |
| 008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION |
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| fixed length control field |
210921b ||||| |||| 00| 0 eng d |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER |
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| International Standard Book Number |
9782856299371 |
| 040 ## - CATALOGING SOURCE |
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| Original cataloging agency |
ISI Library |
| Language of cataloging |
English |
| 082 04 - DEWEY DECIMAL CLASSIFICATION NUMBER |
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| Edition number |
23 |
| Classification number |
512 |
| Item number |
As853 |
| 100 1# - MAIN ENTRY--PERSONAL NAME |
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| Personal name |
Bhatt, Bhargav |
| Relator term |
author |
| 245 10 - TITLE STATEMENT |
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| Title |
Revisiting the de Rham-Witt complex/ |
| Statement of responsibility, etc |
Bhargav Bhatt, Jacob Lurie and Akhil Mathew |
| 260 ## - PUBLICATION, DISTRIBUTION, ETC. (IMPRINT) |
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| Place of publication, distribution, etc |
Paris: |
| Name of publisher, distributor, etc |
Societe mathematique De France, |
| Date of publication, distribution, etc |
2021 |
| 300 ## - PHYSICAL DESCRIPTION |
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| Extent |
viii,168 pages, |
| Dimensions |
23 cm. |
| 490 0# - SERIES STATEMENT |
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| Series statement |
Asterisque; |
| Volume number/sequential designation |
424 |
| 504 ## - BIBLIOGRAPHY, ETC. NOTE |
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| Bibliography, etc |
Includes bibliographical references |
| 505 0# - FORMATTED CONTENTS NOTE |
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| Formatted contents note |
Introduction -- Dieudonne complexes -- Dieudonne Algebras -- The Saturated de Rham-Witt complex -- Localizations of Dieudonne algebras -- The case of a Cusp -- Homological algebra -- The Nygaard filtration -- The Derived de Rham-Witt complex -- Comparison with crystalline cohomology -- The Crystalline comparison for AΩ |
| 520 ## - SUMMARY, ETC. |
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| Summary, etc |
The goal of this paper is to offer a new construction of the de Rham-Witt complex of smooth varieties over perfect fields of characteristic p>0.<br/>We introduce a category of cochain complexes equipped with an endomorphism F of underlying graded abelian groups satisfying dF=pFd, whose homological algebra we study in detail. To any such object satisfying an abstract analog of the Cartier isomorphism, an elementary homological process associates a generalization of the de Rham-Witt construction. Abstractly, the homological algebra can be viewed as a calculation of the fixed points of the Berthelot-Ogus operator Lηp on the p-complete derived category. We give various applications of this approach, including a simplification of the crystalline comparison for the AΩ-cohomology theory introduced |
| 650 #4 - SUBJECT ADDED ENTRY--TOPICAL TERM |
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| Topical term or geographic name as entry element |
Algebra |
| 650 #4 - SUBJECT ADDED ENTRY--TOPICAL TERM |
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| Topical term or geographic name as entry element |
De Rham-Witt Complex |
| 650 #4 - SUBJECT ADDED ENTRY--TOPICAL TERM |
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| Topical term or geographic name as entry element |
Crystalline Cohomology |
| 650 #4 - SUBJECT ADDED ENTRY--TOPICAL TERM |
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| Topical term or geographic name as entry element |
Witt Vector |
| 700 1# - ADDED ENTRY--PERSONAL NAME |
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| Personal name |
Lurie, Jacob |
| Relator term |
author |
| 700 1# - ADDED ENTRY--PERSONAL NAME |
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| Personal name |
Mathew, Akhil |
| Relator term |
author |
| 942 ## - ADDED ENTRY ELEMENTS (KOHA) |
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| Source of classification or shelving scheme |
Dewey Decimal Classification |
| Koha item type |
Books |
