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arXiv · 0905.2286

Projective normality of finite group quotients and EGZ theorem

S. S. Kannan·S. K. Pattanayak
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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 $\mathbb P(V)/G$ 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.

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S. S. Kannan, S. K. Pattanayak. 2009-05-14. Projective normality of finite group quotients and EGZ theorem. https://arxiv.org/abs/0905.2286

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