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arXiv · 0801.1168

Projective normality of quotient varieties modulo finite groups

S. S. Kannan·S. K. Pattanayak·Pranab Sardar
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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 $\mathcal O(1)^{\otimes |G|}$.

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S. S. Kannan, S. K. Pattanayak, Pranab Sardar. 2008-01-08. Projective normality of quotient varieties modulo finite groups. https://arxiv.org/abs/0801.1168

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