Surjectivity of p-adic regulators on K2 of Tate curves
Surjectivity of p-adic regulators on K2 of Tate curves
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DOI：
10.1007/s00222-005-0494-4
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发表时间：
2005-02
影响因子：
3.1
通讯作者：
M. Asakura
中科院分区：
文献类型：
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作者：
M. Asakura
证明了当基域包含在的分圆扩张中时，从Quillen的Tate曲线到-adic的Tate上同调群的-adic调节子的满射性。这意味着由于Suslin的精确序列Tate曲线的扭转部分的有限性。科目：数论（数学. NT）;代数几何（数学. AG）MSC课程：19 F27
I prove the surjectivity of the-adic regulator from Quillen'sof Tate curve to the-adic etale cohomology group when the base field is contained in a cyclotomic extension of. This implies the finiteness of torsion part ofof Tate curves thanks to Suslin's exact sequence.Subjects: Number Theory (math. NT); Algebraic Geometry (math. AG)MSC classes: 19F27