Projective normality of finite group quotients and EGZ theorem

S. S. Kannan; S. K. Pattanayak

Projective normality of finite group quotients and EGZ theorem

Algebraic Geometry 2009-05-15 v1 Combinatorics

Authors: S. S. Kannan , S. K. Pattanayak

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.

Keywords

projective normality finite group quotient toric variety EGZ theorem cyclic group

Cite

@article{arxiv.0905.2286,
  title  = {Projective normality of finite group quotients and EGZ theorem},
  author = {S. S. Kannan and S. K. Pattanayak},
  journal= {arXiv preprint arXiv:0905.2286},
  year   = {2009}
}

Comments

3 pages

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