K2 of families of curves with non-torsion differences in divisorial support

We construct g independent (integral) elements in the kernel of the tame symbol on several families of curves with genus g = 1, 2, 4, 7. Furthermore, we prove that there exist non-torsion divisors P - Q with P, Q in the divisorial support of these K-2 elements when g = 1, 2, which is potentially different from previous constructions. (C) 2021 Elsevier B.V. All rights reserved.

Automated summary

In this study, we construct independent elements in the kernel of the tame symbol on families of curves with various genera. We also prove the existence of non-torsion divisors in the divisorial support of these elements, which is potentially different from previous constructions.