2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/73940This article is a continuation of SG/0107014. Some vanishing theorems for orbifold elliptic genus of level N for multi-fans are proved. As an application, complete Q-factorial toric varieties whose canonical divisors are divisible by their dimesion in the group of T-Cartier divisors are determined.23 pages; Assumption in Theorem 3.4 is alteredAlgebraic TopologyAlgebraic Geometry57R20, 14M25Elliptic genera, torus orbifolds and multi-fans; IItext