[EN] In this paper we present an overview of some recent results con
cerning the properties of a function field embedded in the adeles. Specifically,
for an algebraic curve over a perfect field, Weil reciprocity allows us to define
a subgroup of the idele class group whose topology encodes arithmetic prop
erties of the base field and geometric properties of the curve. In particular we
establish a relationship with the Picard group. The construction is inspired
by Tate’s results on the character group of the adeles over a global field.
