Local cohomology of multi-Rees algebras, Joint reduction numbers and   product of complete ideals
  We find conditions on the local cohomology modules of multi-Rees algebras of admissible filtrations which enable us to predict joint reduction numbers. As a consequence we are able to prove a generalisation of a result of Reid-Roberts-Vitulli in the setting of analytically unramified local rings for completeness of power products of complete ideals. 
Parangama Sarkar and J. K. Verma
math.AC