论文标题
与模量的Kato-Saito IDELE课程组的互惠
Reciprocity for Kato-Saito idele class group with modulus
论文作者
论文摘要
我们介绍了一个具有模量的依托基础小组，并构建了来自Kato-Saito IDELE班级组的互惠同态，并向这个基本组建立。这是由于kerz-saito而导致的模量的循环理论IDELE类组的互惠性的K理论类似物，并且在显示两个IDELE类组之间的同构中起着核心作用。它还提供了针对Deligne和Laumon引起的已知eTale基本群体的新解释。
We introduce an etale fundamental group with modulus and construct a reciprocity homomorphism from the Kato-Saito idele class group with modulus to this fundamental group. This is the K-theoretic analogue of the reciprocity for the cycle-theoretic idele class group with modulus due to Kerz-Saito, and plays a central role in showing the isomorphism between the two idele class groups. It also provides a new interpretation of the already known etale fundamental group with modulus due to Deligne and Laumon.
