Numerical verification of Beilinson's conjecture for K2 of hyperelliptic curves

DOI10.1112/S0010437X05001892zbMath1186.11037arXivmath/0405040WikidataQ122876467 ScholiaQ122876467MaRDI QIDQ5475416

Rob de Jeu, Tim Dokchitser, Don Zagier

Publication date: 19 June 2006

Published in: Compositio Mathematica (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0405040

zbMATH Keywords

curveK-theoryregulatorL-functiontorsion points

Mathematics Subject Classification ID

[https://portal.mardi4nfdi.de/w/index.php?title=+Special%3ASearch&search=%22Curves+of+arbitrary+genus+or+genus+%28%0D%0Ae+1%29+over+global+fields%22&go=Go Curves of arbitrary genus or genus ( e 1) over global fields (11G30)] (L)-functions of varieties over global fields; Birch-Swinnerton-Dyer conjecture (11G40) Polylogarithms and relations with (K)-theory (11G55) Étale cohomology, higher regulators, zeta and (L)-functions ((K)-theoretic aspects) (19F27)

Related Items (10)

Torsion points of small order on hyperelliptic curves ⋮ Explicit version of Beilinson's theorem for the modular curve \(X_{1}(N)\) ⋮ Mahler Measure of Families of Polynomials Defining Genus 2 and 3 Curves ⋮ A shifted Mahler measure identity for Boyd’s family ⋮ COMPUTINGL-FUNCTIONS AND SEMISTABLE REDUCTION OF SUPERELLIPTIC CURVES ⋮ Valeur en $2$ de fonctions $L$ de formes modulaires de poids $2$ : théorème de Beilinson explicite ⋮ Identities of Mahler measures of certain polynomials defining curves of arbitrary genus ⋮ 𝐾₂ of certain families of plane quartic curves ⋮ \(K_2\) of families of curves with non-torsion differences in divisorial support ⋮ On Special Values of Jacobi-Sum HeckeL-Functions

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