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Mémoires de la Société Mathématique de France
2007; 159 pp; softcover
List Price: US$55
Individual Members: US$49.50
Order Code: SMFMEM/112
The author defines and studies the notions of de Rham and crystalline smooth \(p\)-adic sheaves over "suitable" \(p\)-adic bases. To do this, he introduces \(p\)-adic period rings (analogous to those of J.-M. Fontaine), which are used to associate differential invariants to them. In the good reduction case, he obtains a fully faithful functor from the category of crystalline smooth \(p\)-adic sheaves in that of filtered \(F\)-isocrystals on the special fiber.
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 interested in number theory.
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