| Softcover ISBN: | 978-2-85629-937-1 |
| Product Code: | AST/424 |
| List Price: | $60.00 |
| AMS Member Price: | $48.00 |
| Softcover ISBN: | 978-2-85629-937-1 |
| Product Code: | AST/424 |
| List Price: | $60.00 |
| AMS Member Price: | $48.00 |
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Book DetailsAstérisqueVolume: 424; 2021; 162 ppMSC: Primary 14; 11
The goal of this volume is to offer a new construction of the de Rham-Witt complex of a smooth variety over a perfect field of characteristic \(p>0\)
.The authors introduce a category of cochain complexes which are equipped with an endomorphism \(F\) of underlying graded abelian groups satisfying \(dF=pFd\), whose homological algebra the authors 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 \(L\eta_{p}\) on the \(p\)-complete derived category.
The authors give various applications of this approach, including a simplification of the crystalline comparison for the \(A \Omega\)-cohomology theory introduced in introduced in an article by B. Bhatt, M. Morrow and P. Scholze.
A publication of the Société Mathématique de France, Marseilles (SMF), distributed by the AMS in the U.S., Canada, and Mexico. Orders from other countries should be sent to the SMF. Members of the SMF receive a 30% discount from list.
ReadershipGraduate students and research mathematicians.
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The goal of this volume is to offer a new construction of the de Rham-Witt complex of a smooth variety over a perfect field of characteristic \(p>0\)
.The authors introduce a category of cochain complexes which are equipped with an endomorphism \(F\) of underlying graded abelian groups satisfying \(dF=pFd\), whose homological algebra the authors 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 \(L\eta_{p}\) on the \(p\)-complete derived category.
The authors give various applications of this approach, including a simplification of the crystalline comparison for the \(A \Omega\)-cohomology theory introduced in introduced in an article by B. Bhatt, M. Morrow and P. Scholze.
A publication of the Société Mathématique de France, Marseilles (SMF), distributed by the AMS in the U.S., Canada, and Mexico. Orders from other countries should be sent to the SMF. Members of the SMF receive a 30% discount from list.
Graduate students and research mathematicians.
