Proof of the Tate conjecture for products of elliptic curves over finite fields
Proof of the Tate conjecture for products of elliptic curves over finite fields
复制标题
有限域上椭圆曲线乘积的泰特猜想的证明
DOI：
10.1007/s002080050295
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发表时间：
1999
期刊：
影响因子：
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通讯作者：
Michael Spiess
中科院分区：
文献类型：
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作者：
Michael Spiess
设X是n-生成域k上的光滑射影等维概型.设k是k的可分闭包，设X= X× kk.用CHm（X）表示X上余维m个圈的Chow群。在[Ta 1]中，Tate已经证明了循环类映射
Let X be a smooth projective equidimensional scheme over a finitely generated field k. Let k be a separable closure of k and put X= X× k k. Denote by CHm (X) the Chow group of codimension m cycles on X. In [Ta1] Tate has conjectured that the cycle class map