Let A be a regular ring containing field of characteristic zero and let $$R = A[X_1,\ldots , X_m]$$ . Consider R as standard graded with $$\deg 0$$ X_i 1$$ for all i. In this paper we present comprehensive study components local cohomology s $$H^i_I(R)$$ where I is an arbitrary homogeneous ideal in R. Our seems to the first regard.