As a continuation of arXiv:1412.6888, we study the reciprocity map for an open curve $X$ over a local field of characteristic $p>0$. We determine the $p$-part of the kernel of the reciprocity map after restricting ramification when the rank of $X$ is $0$.
Class field theory for a product of curves over a local field
Class field theory for open curves over local fields
Class field theory for products of open curves over a local field
![QR code for arXiv:1712.09194 [math.NT]](http://oss.arxitics.com/images/favicon.svg)