Projective normality of finite group quotients and EGZ theorem

Kannan, S. S.; Pattanayak, S. K.

Projective normality of finite group quotients and EGZ theorem

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Description

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.
3 pages