Graded components of local cohomology modules

الأصل · EN

Let A be a regular ring containing a field of characteristic zero and let R = A[X₁,, Xₘ]. Consider R as standard graded with deg A = 0 and deg Xᵢ = 1 for all i. In this paper we present a comprehensive study of graded components of local cohomology modules Hⁱᵢ(R) where I is an arbitrary homogeneous ideal in R. Our study seems to be the first in this regard.