有限群のRees代数への作用とその不変部分環のGorenstein性について(II)

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Let g be a finite group which acts on a commutative ring A, I a g-stable ideal of A. The action of g is naturally extended to the Rees algebra R(I) and the associated graded ring G(I) of I. This paper gives a method to investigate the invariant subrings of R(I) and G(I), and shows consequences. Assume that A is a Gorenstein local ring, the order of g is invertible in A, I is a parameter ideal, arid I has a generating system that each element is semi-invariant. Then, one can have a sufficient condition for the invariant subring R(I)^g and G(I)^g to be Gorenstein rings.
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