On the image of p-adic regulators

On the image of p-adic regulators
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关于 p-adic 调节器的形象

DOI:
10.1007/s002220050125
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发表时间:
1997
影响因子:
3.1
通讯作者:
Wiesława Nizioł
Wiesława Nizioł
中科院分区:
数学1区
文献类型:
--
作者:
Wiesława Nizioł

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设V表示一个完全离散赋值环,其特征为0的分数eld K和正特征为p的完美剩余eld k,设V 0 = W(k)表示系数在k中的Witt向量环,K 0是其分数eld.设置GK = Gal(K=K)。设X是V上的光滑射影概型。对于i = 0,2 i-n-1= 0,考虑伽罗瓦表示L = Hn et(XK ;Qp(i))。在Bloch和Kato关于动机的L-函数的特殊值的工作[2]中,
Let V denote a complete discrete valuation ring with a fraction eld K of characteristic 0 and a perfect residue eld k of positive characteristic p, let V0 = W (k) denote the ring of Witt vectors with coe cients in k, and K0 its fraction eld. Set GK = Gal(K=K). Let X be a smooth and projective scheme over V . For i = 0, 2i − n− 1= 0, consider the Galois representation L = Hn et (XK ;Qp(i)). In the work of Bloch and Kato on the special values of L-functions of motives [2], the question of describing the images of the Soul e’s p-adic Chern character