Higher regulators and Hecke \(L\)-series of imaginary quadratic fields. II

DOI10.2307/1971502zbMath0721.14005OpenAlexW2313063920WikidataQ56813083 ScholiaQ56813083MaRDI QIDQ2640660

Christopher Deninger

Publication date: 1990

Published in: Annals of Mathematics. Second Series (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/143672

zbMATH Keywords

complex multiplicationregulatorHecke charactersEisenstein-Kronecker seriesChow motiveGross conjectureBeilinson conjecturesHecke L-seriesL-function of motifBeilinson's dual motiveSerre-Tate charactersymmetric powers of an elliptic curve

Mathematics Subject Classification ID

(L)-functions of varieties over global fields; Birch-Swinnerton-Dyer conjecture (11G40) Drinfel'd modules; higher-dimensional motives, etc. (11G09) Zeta functions and (L)-functions of number fields (11R42) (K)-theory of global fields (11R70) Étale cohomology, higher regulators, zeta and (L)-functions ((K)-theoretic aspects) (19F27)

Related Items (14)

Dirichlet motives via modular curves ⋮ On the tamagawa number conjecture for hecke characters ⋮ On an elliptic analogue of Zagier's conjecture ⋮ Weak Leopoldt's conjecture for Hecke characters of imaginary quadratic fields ⋮ A twisted class number formula and Gross's special units over an imaginary quadratic field ⋮ On special elements in higher algebraic \(K\)-theory and the Lichtenbaum-Gross conjecture ⋮ The Bloch-Kato conjecture on special values of \(L\)-functions. A survey of known results. ⋮ On higher regulators of Siegel threefolds II: the connection to the special value ⋮ Hodge correlators ⋮ \(p\)-adic \(K\)-theory of Hecke characters of imaginary quadratic fields and an analogue of Beilinson's conjectures ⋮ On the Tamagawa number conjecture for CM elliptic curves defined over \({\mathbb Q}\) ⋮ Non-critical equivariant L-values of modular abelian varieties ⋮ Generalized \(\mathbb Q\)-curves and factors of \(J_1(N)\) ⋮ \(p\)-adic polylogarithms and \(p\)-adic Hecke \(L\)-functions for totally real fields

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