\(K_2\) of families of curves with non-torsion differences in divisorial support

DOI10.1016/j.jpaa.2021.106915zbMath1481.19004OpenAlexW3200183381MaRDI QIDQ2078389

Hang Liu, Haixu Wang, Guoping Tang

Publication date: 28 February 2022

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jpaa.2021.106915

zbMATH Keywords

curveregulatorBeilinson's conjecture\(K_2\)

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)] Étale cohomology, higher regulators, zeta and (L)-functions ((K)-theoretic aspects) (19F27) (K)-theory of schemes (19E08)

Uses Software

• Magma

Cites Work

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• Higher regulators and values of L-functions of curves
• The Magma algebra system. I: The user language
• \(K_ 2\) of a Fermat quotient and the value of its \(L\)-function
• On an analogue of the Lutz-Nagell theorem for hyperelliptic curves
• On the regulator of Fermat motives and generalized hypergeometric functions
• OnK₂of Certain Families of Curves
• 𝐾₂ of certain families of plane quartic curves
• Numerical verification of Beilinson's conjecture for K2 of hyperelliptic curves

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