000			01976nam a2200289 4500
999			_c428237 _d428237
003			ISI Library, Kolkata
005			20210921111109.0
008			210921b ||||| |||| 00| 0 eng d
020			_a9782856299371
040			_aISI Library _bEnglish
082	0	4	_223 _a512 _bAs853
100	1		_aBhatt, Bhargav _eauthor
245	1	0	_aRevisiting the de Rham-Witt complex/ _cBhargav Bhatt, Jacob Lurie and Akhil Mathew
260			_aParis: _bSociete mathematique De France, _c2021
300			_aviii,168 pages, _c23 cm.
490	0		_aAsterisque; _v424
504			_aIncludes bibliographical references
505	0		_aIntroduction -- 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			_aThe 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. 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	_aAlgebra
650		4	_aDe Rham-Witt Complex
650		4	_aCrystalline Cohomology
650		4	_aWitt Vector
700	1		_aLurie, Jacob _eauthor
700	1		_aMathew, Akhil _eauthor
942			_2ddc _cBK