Projective normality of finite group quotients and EGZ theorem

Details Projective normality of finite group quotients and EGZ theorem Projective normality of finite group quotients and EGZ theorem

2009-05-14

arxiv.org/abs/0905.2286v1

Mathematics

Algebraic Geometry

3 pages

Scientific paper

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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