Rigid syntomic cohomology and p-adic polylogarithms

DOI10.1515/crll.2000.097zbMath1006.19002OpenAlexW2147879869MaRDI QIDQ4520953

Kenichi Bannai

Publication date: 19 December 2000

Published in: Journal für die reine und angewandte Mathematik (Crelles Journal) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/crll.2000.097

zbMATH Keywords

Hodge filtrationsyntomic cohomologymixed Hodge structuressyntomic regulatorlogarithmic sheafHodge cohomologyspecial values of \(p\)-adic \(L\)-functionsmotivic cohomologies\(p\)-adic polylogarithmBeilinson elementTate objectssyntomic coefficients\(p\)-adic mixed sheaves theoryprojective smooth varieties

Mathematics Subject Classification ID

Other algebro-geometric (co)homologies (e.g., intersection, equivariant, Lawson, Deligne (co)homologies) (14F43) Zeta functions and (L)-functions (11S40) Étale cohomology, higher regulators, zeta and (L)-functions ((K)-theoretic aspects) (19F27)

Related Items (4)

The syntomic realization of the elliptic polylogarithm via the Poincaré bundle ⋮ \(p\)-adic polylogarithms and \(p\)-adic Hecke \(L\)-functions for totally real fields ⋮ Syntomic cohomology of \(F\)--\(T\) crystals ⋮ On the \(p\)-adic realization of elliptic polylogarithms for CM-elliptic curves

Cites Work

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• Realizations of polylogarithms
• Dilogarithms, regulators and \(p\)-adic \(L\)-functions
• Finiteness and cohomological purity in rigid cohomology (with an appendix by Aise Johan de Jong)

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