2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/230351In this note, we prove that for any finite dimensional vector space $V$ over $\mathbb {C}$, and for a finite cyclic group $G$, the projective variety $\mathbb P(V)/G$ is projectively normal with respect to the descent of $\mathcal O(1)^{\otimes |G|}$ by a method using toric variety, and deduce the EGZ theorem as a consequence.3 pagesAlgebraic GeometryCombinatorics14J32text