2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/63796We investigate the geometry of the Simpson moduli space M of stable sheaves on P_3 with Hilbert polynomial H(m)=3m+1 and describe explicitly the two smooth, rational components, their 11-dimensional smooth, transversal intersection and the relation between M and the Hilbert scheme Hilb_H(P_3) of cubic space curves. We also compute the Betti numbers of the Chow groups of the moduli space M.28 pages, LaTeX; minor changes, to appear in Amer. J. MathAlgebraic Geometry14F05, 18F20 (Primary) 14D20, 14D22 (Secondary)text