# Projective normality of finite group quotients and EGZ theorem - Mathematics > Algebraic Geometry

Abstract: In 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$\mathbb PV-G$ is projectively normal with respect to the descent of$\mathcal O1^{\otimes |G|}$ by a method using toric variety, and deduce theEGZ theorem as a consequence.

Author: S.S.Kannan, S.K.Pattanayak

Source: https://arxiv.org/