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