Syntomic regulators andp-adic integration I: Rigid syntomic regulators

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We construct a new version of syntomic cohomology, called rigid syntomic cohomology, for smooth schemes over the ring of integers of a p-adic field. This version is more refined than previous constructions and naturally maps to most of them. We construct regulators from K-theory into rigid syntomic cohomology. We also define a "modified" syntomic cohomology, which is better behaved in explicit computations yet is isomorphic to rigid syntomic cohomology in most cases of interest.
Original languageEnglish
Pages (from-to)291-334
Number of pages44
JournalIsrael Journal of Mathematics
Issue number2
StatePublished - Dec 2000


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