OnK2of Certain Families of Curves

DOI10.1093/imrn/rnu261zbMath1333.19005arXiv1402.4822OpenAlexW2055944041MaRDI QIDQ3458765

Hang Liu, Rob de Jeu

Publication date: 23 December 2015

Published in: International Mathematics Research Notices (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1402.4822

zbMATH Keywords

regulatortame symbolBeilinson's conjecture

Mathematics Subject Classification ID

Arithmetic ground fields for curves (14H25) [https://zbmath.org/classification/?q=cc:11G30 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)

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Mahler Measure of Families of Polynomials Defining Genus 2 and 3 Curves, The Mahler measure of x + 1/x + y + 1/y + 4 ± 42 and Beilinson’s conjecture, 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