Syntomic regulators andp-adic integration I: Rigid syntomic regulators |
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Authors: | Amnon Besser |
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Institution: | (1) Department of Mathematical Sciences, University of Durham Science Laboratories, South Road, DH1 3LE Durham, England;(2) Present address: Department of Mathematics, Ben-Gurion University of the Negev, P.O.B. 653, 84105 Be’er-Sheva, Israel |
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Abstract: | We construct a new version of syntomic cohomology, called rigid syntomic cohomology, for smooth schemes over the ring of integers
of ap-adic field. This version is more refined than previous constructions and naturally maps to most of them. We construct regulators
fromK-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. |
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