𝐾₂ of certain families of plane quartic curves

Liu, Hang; Chang, Shan

doi:10.1090/proc/13963

$K_2$ of certain families of plane quartic curves
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by Hang Liu and Shan Chang PDF

Proc. Amer. Math. Soc. 146 (2018), 2785-2796 Request permission

Abstract:

We construct three elements in the kernel of the tame symbol on families of quartic curves. We show that these elements are integral under certain conditions on the parameters. Moreover, we prove that these elements are in general linearly independent by calculating the limit of the regulator.

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