2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/139939We describe necessary and sufficient conditions for a knot in an L-space to have an L-space homology sphere surgery. We use these conditions to reformulate a conjecture of Berge about which knots in S^3 admit lens space surgeries.23 pages, 3 figuresGeometric Topology57M27; 57M25text