2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/74331We compute the completion of the special linear group over the coordinate ring of a curve over a number field $k$ relative to its representation in $\slnk$, and relate this to the study of $K_2$ of the curve.6 pagesK-Theory and HomologyAlgebraic Topology55P60; 19D55text