有限域上椭圆形路径的理论等价、数值等价和结果
Equivalence rationnelle, equivalence numerique et produits de courbes elliptiques sur un corps fini
摘要：
这是第一个版本的更新。我们澄清，主要结果适用于更一般的光滑射影簇X比产品的椭圆曲线（简要地说：X是“阿贝尔型”，例如一个阿贝尔簇或产品的曲线，泰特猜想成立）。对于剩余域是X的函数域的dvr，我们还推出了Gersten猜想.在附录中，我们构造了几个基本动机上同调的函子。最后，对第一版第5节中的一些错误进行了更正。
英文摘要：
This is an update of the first version. We clarify that the main results apply to more general smooth projective varieties X than products of elliptic curves (briefly: X is of "abelian type", e.g. an abelian variety or a product of curves, and the Tate conjecture holds). We also deduce the Gersten conjecture for dvrs whose residue field is the function field of such an X. In an appendix, we construct some functoriality for etale motivic cohomology. Finally, some errors which were in Section 5 of the first version are corrected.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
