Projective normality of quotient varieties modulo finite groups

2008/01/08 by Kannan, S. S., Pattanayak, S. K., Sardar, Pranab
#Algebraic Geometry (math.AG) #Commutative Algebra (math.AC) #FOS: Mathematics

paper · doi:10.48550/arxiv.0801.1168

Abstract

In this note, we prove that for any finite dimensional vector space V over an algebraically closed field k, and for any finite subgroup G of GL(V) which is either solvable or is generated by pseudo reflections such that the |G| is a unit in k, the projective variety \mathbb P(V)/G is projectively normal with respect to the descent of \mathcal O(1)^{⊗ |G|}.

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