Revisiting the de Rham-Witt complex / Bhargav Bhatt, Jacob Lurie & Akhil Mathew.

Bibliographic Details
Uniform Title:Astérisque ; 424.
Main Authors: Bhatt, Bhargav, 1983- (Author)
Lurie, Jacob, 1977- (Author)
Mathew, Akhil (Author)
Language:English
Language and/or Writing System:
Text in English with English and French abstracts.
Published: Paris : Société mathématique de France, 2021.
Series:Astérisque ; 424.
Subjects:
Physical Description:viii, 165 pages ; 24 cm.
Format: Book

MARC

LEADER 00000cam a2200000 i 4500
001 in00006523794
003 OCoLC
005 20230629132622.6
008 210715t20212020fr b 000 0 eng d
016 7 |a 020242972  |2 Uk 
019 |a 1265004395 
020 |a 9782856299371  |q (paperback) 
020 |a 2856299377  |q (paperback) 
024 7 |z 10.24033/ast.1146  |2 doi 
035 |a (OCoLC)1260249804  |z (OCoLC)1265004395 
040 |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 
041 0 |a eng  |b eng  |b fre 
049 |a EEMR 
050 1 4 |a QA612.3  |b .B53 2021 
082 0 4 |a 514/.23  |2 23 
100 1 |a Bhatt, Bhargav,  |d 1983-  |e author.  |0 http://id.loc.gov/authorities/names/no2010113548 
245 1 0 |a Revisiting the de Rham-Witt complex /  |c Bhargav Bhatt, Jacob Lurie & Akhil Mathew. 
264 1 |a Paris :  |b Société mathématique de France,  |c 2021. 
264 4 |c ©2020 
300 |a viii, 165 pages ;  |c 24 cm. 
336 |a text  |b txt  |2 rdacontent 
337 |a unmediated  |b n  |2 rdamedia 
338 |a volume  |b nc  |2 rdacarrier 
490 1 |a Astérisque,  |x 0303-1179 ;  |v numéro 424, 2021 
504 |a Includes bibliographical references (pages 161-165). 
540 |a Current Copyright Fee: GBP22.50  |c 0.  |5 Uk 
546 |a Text in English with English and French abstracts. 
650 0 |a Homology theory.  |0 http://id.loc.gov/authorities/subjects/sh85061770 
650 0 |a Algebraic varieties.  |0 http://id.loc.gov/authorities/subjects/sh85003439 
650 0 |a Geometry, Algebraic.  |0 http://id.loc.gov/authorities/subjects/sh85054140 
650 7 |a Algebraic varieties.  |2 fast  |0 (OCoLC)fst00804944 
650 7 |a Geometry, Algebraic.  |2 fast  |0 (OCoLC)fst00940902 
650 7 |a Homology theory.  |2 fast  |0 (OCoLC)fst00959720 
700 1 |a Lurie, Jacob,  |d 1977-  |e author.  |0 http://id.loc.gov/authorities/names/no2009129939 
700 1 |a Mathew, Akhil,  |e author.  |0 http://id.loc.gov/authorities/names/no2023053016 
830 0 |a Astérisque ;  |v 424.  |0 http://id.loc.gov/authorities/names/n86716119 
880 3 |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]. 
907 |y .b144057372  |b 211210  |c 211115 
998 |a rs  |b 211115  |c m  |d a  |e -  |f eng  |g fr  |h 0  |i 2 
994 |a C0  |b EEM 
999 f f |i fc051c36-f994-547d-b74e-3c75c21b5bbb  |s 31549b61-a0f0-58f0-ba78-5a83779d8436  |t 0 
952 f f |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