2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/74762We prove Manin's conjecture for a singular cubic surface S with a singularity of type E6. If U is the open subset of S obtained by deleting the unique line from S, then the number of rational points in U with anticanonical height bounded by B behaves asymptotically as cB(log B)^6, where the constant c agrees with the one conjectured by Peyre.18 pagesNumber TheoryAlgebraic Geometry11G35 (Primary) 14G05, 14J45 (Secondary)Manin's conjecture for a certain singular cubic surfacetext