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20230629132622.6 |
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210715t20212020fr b 000 0 eng d |
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|a 020242972
|2 Uk
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|a 1265004395
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|a 9782856299371
|q (paperback)
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|a 2856299377
|q (paperback)
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|z 10.24033/ast.1146
|2 doi
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|a (OCoLC)1260249804
|z (OCoLC)1265004395
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|a QGE
|b eng
|e rda
|c QGE
|d QGE
|d L2U
|d UKMGB
|d MNU
|d OCLCO
|d CGU
|d PAU
|d YDX
|d OCLCF
|d WAU
|d EEM
|d UtOrBLW
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|a eng
|b eng
|b fre
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|a EEMR
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|a QA612.3
|b .B53 2021
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|a 514/.23
|2 23
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|a Bhatt, Bhargav,
|d 1983-
|e author.
|0 http://id.loc.gov/authorities/names/no2010113548
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|a Revisiting the de Rham-Witt complex /
|c Bhargav Bhatt, Jacob Lurie & Akhil Mathew.
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264 |
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|a Paris :
|b Société mathématique de France,
|c 2021.
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264 |
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|c ©2020
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300 |
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|a viii, 165 pages ;
|c 24 cm.
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336 |
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|a text
|b txt
|2 rdacontent
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337 |
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|a unmediated
|b n
|2 rdamedia
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|a volume
|b nc
|2 rdacarrier
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490 |
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|a Astérisque,
|x 0303-1179 ;
|v numéro 424, 2021
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|a Includes bibliographical references (pages 161-165).
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540 |
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|a Current Copyright Fee: GBP22.50
|c 0.
|5 Uk
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546 |
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|a Text in English with English and French abstracts.
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650 |
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|a Homology theory.
|0 http://id.loc.gov/authorities/subjects/sh85061770
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650 |
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|a Algebraic varieties.
|0 http://id.loc.gov/authorities/subjects/sh85003439
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650 |
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|a Geometry, Algebraic.
|0 http://id.loc.gov/authorities/subjects/sh85054140
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650 |
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|a Algebraic varieties.
|2 fast
|0 (OCoLC)fst00804944
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650 |
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|a Geometry, Algebraic.
|2 fast
|0 (OCoLC)fst00940902
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650 |
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7 |
|a Homology theory.
|2 fast
|0 (OCoLC)fst00959720
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700 |
1 |
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|a Lurie, Jacob,
|d 1977-
|e author.
|0 http://id.loc.gov/authorities/names/no2009129939
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700 |
1 |
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|a Mathew, Akhil,
|e author.
|0 http://id.loc.gov/authorities/names/no2023053016
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|a Astérisque ;
|v 424.
|0 http://id.loc.gov/authorities/names/n86716119
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|6 520-00
|a The goal of this book is to offer a new construction of the de Rham-Witt complex of a smooth variety over a perfect field of characteristic p> 0. We introduce a category of cochain complexes which are 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 Lp on the p-complete derived category. We give various applications of this approach, including a simplification of the crystalline comparison for the A-cohomology theory introduced in [12].
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|t 0
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952 |
f |
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|p Can Circulate
|a Michigan State University-Library of Michigan
|b Michigan State University
|c MSU Remote Storage
|d MSU Remote Storage
|t 0
|e QA612.3 .B53 2021
|h Library of Congress classification
|i Printed Material
|m 31293037744392
|n 1
|