2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/143079We define the singular elliptic genus for arbitrary normal surfaces, prove that it is a birational invariant, and show that it generalizes the singular elliptic genus of Borisov and Libgober and the stringy $χ_y$ genus of Batyrev and Veys.Algebraic Geometry14J17text