An explicit reciprocity law associated to some finite coverings of algebraic curves (Q723775)

In the previous paper [Trans. Am. Math. Soc. 360, No. 7, 3473--3492 (2008; Zbl 1194.14037)] the first two authors proved the existence of a generalized abstract reciprocity law for reductive groups defined over the function field of a smooth curve. In the current paper, the authors develop new reciprocity law associated with finite coverings of algebraic currves. They also provide specific explicit examples which demonstrate that their non-commutative reciprocity law is not equivalent to the Weil reciprocity law.