| Softcover ISBN: | 978-2-85629-988-3 |
| Product Code: | AST/448 |
| List Price: | $116.00 |
| AMS Member Price: | $92.80 |
| Softcover ISBN: | 978-2-85629-988-3 |
| Product Code: | AST/448 |
| List Price: | $116.00 |
| AMS Member Price: | $92.80 |
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Book DetailsAstérisqueVolume: 448; 2024; 482 ppMSC: Primary 11; 14
This book presents two important results in \(p\)-adic Hodge theory following the approach initiated by Faltings, namely (i) his main \(p\)-adic comparison theorem, and (ii) the Hodge-Tate spectral sequence. The authors establish for each of these results two versions: an absolute one and a relative one.
While the absolute statements can reasonably be considered as well as understood, particularly after their extension to rigid varieties by Scholze, Faltings' initial approach for the relative variants has remained much less studied.
Although the authors follow the same strategy as that used by Faltings to establish his main \(p\)-adic comparison theorem, part of their proofs is based on new results. The relative Hodge-Tate spectral sequence is new in this approach.
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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This book presents two important results in \(p\)-adic Hodge theory following the approach initiated by Faltings, namely (i) his main \(p\)-adic comparison theorem, and (ii) the Hodge-Tate spectral sequence. The authors establish for each of these results two versions: an absolute one and a relative one.
While the absolute statements can reasonably be considered as well as understood, particularly after their extension to rigid varieties by Scholze, Faltings' initial approach for the relative variants has remained much less studied.
Although the authors follow the same strategy as that used by Faltings to establish his main \(p\)-adic comparison theorem, part of their proofs is based on new results. The relative Hodge-Tate spectral sequence is new in this approach.
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.
