Finitely graded local cohomology and the depths of graded algebras
Finitely graded local cohomology and the depths of graded algebras
The term "finitely graded" is introduced here to refer to graded modules which are nonzero in only finitely many graded pieces. We consider the question of when the local cohomology modules of a graded module are finitely graded. Using a theorem of Faltings concerning the annihilation of local cohomology, we …