Abstract
Let A be a regular domain containing a field K of characteristic zero, G be a finite subgroup of the group of automorphisms of A and be the ring of invariants of G. Let and be standard graded with and for all i. Extend the action of G on A to S by fixing Xi. Note . Let I be an arbitrary homogeneous ideal in R. The main goal of this paper is to establish a comparative study of graded components of local cohomology modules that would be analogs to those proven in the paper [5] for where J is an arbitrary homogeneous ideal in S.
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