Friedrich Knop¹

Eingegangen: 10. Juni 1986  

Abstract  Let G be a semisimple algebraic group acting on a factorial Gorenstein algebra S. Let X:=Spec S, Y:=Spec S^G and :XY be the quotient map. The main results are:

1.	Let x be a smooth point of X whose orbit has maximal dimension and such that (x) is a smooth point of Y. Then is smooth at x.
2.	Let S be positively graded and let S(t) be its generating function which is a rational function. Then: deg Sdeg .