Journal
JOURNAL OF PURE AND APPLIED ALGEBRA
Volume 226, Issue 7, Pages -Publisher
ELSEVIER
DOI: 10.1016/j.jpaa.2021.106915
Keywords
K-2; Curve; Beilinson's conjecture; Regulator
Categories
Funding
- National Natural Science Foundation of China [11801345, 61802243]
- General Program Class A of Shenzhen Stable Support Plan [20200812135418001]
- National Natural Science Founda-tion of China [11771422]
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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.
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.
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