论文标题
Bloch的0循环公式，具有模量和较高维度的阶级理论
Bloch's formula for 0-cycles with modulus and higher dimensional Class Field Theory
论文作者
论文摘要
我们证明了Bloch的公式，用于在平滑的准标准表面上的0循环的Chow组，在一个场上。我们使用此公式来简单地证明排名的一个案例，即在Lisse $ \ overline上的Deligne和Drinfeld的猜想。这最初是由Kerz和Saito在特征$ \ neq 2 $中解决的。
We prove Bloch's formula for the Chow group of 0-cycles with modulus on a smooth quasi-projective surface over a field. We use this formula to give a simple proof of the rank one case of a conjecture of Deligne and Drinfeld on lisse $\overline{\mathbb{Q}}_{\ell}$-sheaves. This was originally solved by Kerz and Saito in characteristic $\neq 2$.
