$p$-adic Beilinson conjecture for ordinary Hecke motives associated to imaginary quadratic fields

zbMath1248.14025arXiv1006.2997MaRDI QIDQ3104183

Guido Kings, Kenichi Bannai

Publication date: 19 December 2011

Full work available at URL: https://arxiv.org/abs/1006.2997

zbMATH Keywords

polylogarithmssyntomic regulatorHecke motives\(p\)-adic Beilinson conjecture

Mathematics Subject Classification ID

Zeta functions and related questions in algebraic geometry (e.g., Birch-Swinnerton-Dyer conjecture) (14G10) Polylogarithms and relations with (K)-theory (11G55) (p)-adic cohomology, crystalline cohomology (14F30)

Related Items (4)

\(p\)-adic Eisenstein-Kronecker series and non-critical values of \(p\)-adic Hecke \(L\)-function of an imaginary quadratic field when the conductor is divisible by \(p\) ⋮ A numerical approach toward the \(p\)-adic Beilinson conjecture for elliptic curves over \(\mathbb{Q}\) ⋮ Comparison between rigid and crystalline syntomic cohomology for strictly semistable log schemes with boundary ⋮ EISENSTEIN–KRONECKER SERIES VIA THE POINCARÉ BUNDLE

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