Projective normality of quotient varieties modulo finite groups

Kannan, S. S.; Pattanayak, S. K.; Sardar, Pranab

Projective normality of quotient varieties modulo finite groups

Authors

Kannan, S. S.

Pattanayak, S. K.

Sardar, Pranab

Description

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 $\mathcal O(1)^{\otimes |G|}$.
5 pages