On the Galois Actions on Torsors of Paths I, Descent of Galois Representations
On the Galois Actions on Torsors of Paths I, Descent of Galois Representations
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关于路径 Torors 的伽罗瓦作用 I，伽罗瓦表示的下降
DOI：
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发表时间：
2007
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通讯作者：
Z. Wojtkowiak
中科院分区：
文献类型：
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作者：
Z. Wojtkowiak
我们正在研究由伽罗瓦群在投影线上减去有限个数点的路径的环量上的作用得到的表示。torsors上使用这些操作的路径,我们构建几何表示的伽罗瓦组重新alize�-adically相关的分级李代数的基本群tannakian一类混合在SpecZ泰特的动机,规范Z (i),规范Z(1),规范OQ(√−q)对于任何一个质数q(问�在最后一例)和规范阿q(√−q(1)对于任何一个质数问全等3模4和q = 2。
We are studying representations obtained from ac- tions of Galois groups on torsors of paths on a projective line minus a finite number of points. Using these actions on torsors of paths, we construct geometrically representations of Galois groups which re- alize � -adically the associated graded Lie algebra of the fundamental group of the tannakian category of mixed Tate motives over SpecZ, Spec Z(i), Spec Z( 1 ), Spec OQ( √ −q) for any prime number q (q � in the last case) and over Spec O Q( √ −q) ( 1 ) for any prime number q congruent to 3 modulo 4 and also for q =2 .