| Softcover ISBN: | 978-2-85629-896-1 |
| Product Code: | AST/406 |
| List Price: | $67.00 |
| AMS Member Price: | $53.60 |
| Softcover ISBN: | 978-2-85629-896-1 |
| Product Code: | AST/406 |
| List Price: | $67.00 |
| AMS Member Price: | $53.60 |
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Book DetailsAstérisqueVolume: 406; 2018; 382 ppMSC: Primary 11; 14
This work is dedicated to the discovery, the definition, and the study of the fundamental curve in \(p\)-adic Hodge theory. The authors define and study the \(p\)-adic period rings as rings of holomorphic functions of the variable \(p\). Then they classify the vector bundles on the curve, a theorem that generalizes in some sense the classification theorem of vector bundles on the projective line. As an application, they give geometric proofs of the two main theorems in \(p\)-adic Hodge theory: weakly admissible implies admissible and de Rham implies potentially semi-stable.
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 work is dedicated to the discovery, the definition, and the study of the fundamental curve in \(p\)-adic Hodge theory. The authors define and study the \(p\)-adic period rings as rings of holomorphic functions of the variable \(p\). Then they classify the vector bundles on the curve, a theorem that generalizes in some sense the classification theorem of vector bundles on the projective line. As an application, they give geometric proofs of the two main theorems in \(p\)-adic Hodge theory: weakly admissible implies admissible and de Rham implies potentially semi-stable.
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.
