# Projective normality of finite group quotients and EGZ theorem

Authors
Type
Preprint
Publication Date
May 14, 2009
Submission Date
May 14, 2009
Source
arXiv
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 $\mathbb P(V)/G$ 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.