2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/145547In 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 pagesAlgebraic GeometryCommutative AlgebraProjective normality of quotient varieties modulo finite groupstext