A note on coherent G-sheaves (Q1067046)

This paper considers coherent analytic sheaves S on complex spaces X with holomorphic actions of a reductive complex Lie group G satisfying certain conditions which ensure that complex analytic quotient spaces X/G exist. The group G also acts on the sheaves, inducing holomorphic actions on the Fréchet spaces of sections of S. The main result is that the germs of invariant sections of S form a coherent sheaf on the quotient space X/G.