Abstract.
The purpose of this paper is to interpret rigid syntomic cohomology, defined by Amnon Besser [Bes], as a p-adic absolute Hodge cohomology. This is a p-adic analogue of a work of Beilinson [Be1] which interprets Beilinson-Deligne cohomology in terms of absolute Hodge cohomology. In the process, we will define a theory of p-adic absolute Hodge cohomology with coefficients, which may be interpreted as a generalization of rigid syntomic cohomology to the case with coefficients.
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Received: 25 September 2000 / In final form: 23 March 2001 / Published online: 28 February 2002
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Bannai, K. Syntomic cohomology as a p-adic absolute Hodge cohomology. Math Z 242, 443–480 (2002). https://doi.org/10.1007/s002090100351
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DOI: https://doi.org/10.1007/s002090100351