## Graded components of Local cohomology modules II. (arXiv:1708.01396v1 [math.AC])

Let \$A\$ be a commutative Noetherian ring containing a field \$K\$ 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\$. We present a few results about the behavior of the graded components of local cohomology modules \$H_I^i(R)\$ where \$I\$ is an arbitrary homogeneous ideal in \$R\$. We mostly restrict our attention to the Vanishing, Tameness and Rigidity problems. 查看全文>>