2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/114193We compute local Gromov-Witten invariants of cubic surfaces at all genera. We use a deformation of a cubic surface to a nef toric surface and the deformation invariance of Gromov-Witten invariants.v1:13 pages. v2: the nef condition is added in the definition of local GW invariantsAlgebraic GeometryHigh Energy Physics - TheoryPrimary 14N35, 53D45; Secondary 14J26, 14J32Local Gromov-Witten invariants of cubic surfaces via nef toric degenerationtext