2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/149815We calculate the Picard group, over the integers, of the Hilbert scheme of smooth, irreducible, non-degenerate curves of degree $d$and genus $g \geq 4$ in ${\Bbb P}^r$, in the case when $d \geq 2g+1 $ and $r \leq d-g$. We express the classes of the generators in terms of some ``natural'' divisor classes.13 pages, LaTeXAlgebraic Geometrytext