Projective normality of quotient varieties modulo finite groups

Details Projective normality of quotient varieties modulo finite groups Projective normality of quotient varieties modulo finite groups

2008-01-08

arxiv.org/abs/0801.1168v1

Mathematics

Algebraic Geometry

5 pages

Scientific paper

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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