2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/60497In this note, we prove that the Q-Picard group of the moduli space of n-pointed stable curves of genus g over an algebraically closed field is generated by the tautological classes. We also prove that the cycle map to the 2nd etale cohomology group is bijective.14 pages. In version 2.0, we prove that the cycle map to the 2nd etale cohomology group is bijectiveAlgebraic Geometrytext