Projective normality of finite group quotients and EGZ theorem

2009/05/14 by S. Senthamarai Kannan, Kannan, S. S., Santosha Pattanayak +1
Computer Science · Mathematics · #14J32 #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #Combinatorics (math.CO) #Commutative Algebra and Its Applications #FOS: Mathematics #Polynomial and algebraic computation

paper · pdf · doi:10.48550/arxiv.0905.2286

openalex publication_date 2009/05/14 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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)^{⊗ |G|} by a method using toric variety, and deduce the EGZ theorem as a consequence.

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