Resumen de Graded components of local cohomology modules

Tony J. Puthenpurakal

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