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

K2 of families of curves with non-torsion differences in divisorial support
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DOI:
10.1016/j.jpaa.2021.106915
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发表时间:
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期刊:
Jounal of Pure and Applied Algebra
影响因子:
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通讯作者:
唐国平
唐国平
中科院分区:
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文献类型:
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作者:
王海旭;刘杭;唐国平

文献摘要

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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 K2 elements when g = 1, 2, which is potentially different from previous constructions.