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

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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.

Autor: S.S.Kannan, S.K.Pattanayak

Fuente: https://arxiv.org/