Local Cohomology of Multi-Rees Algebras with Applications to Joint Reductions and Complete Ideals

Shreedevi K. Masuti, Tony J. Puthenpurakal, J. K. Verma

In this paper, we obtain a generalization, in dimension $3$, of a theorem of David Rees about joint reductions of the bigraded filtration $\{\overline{I^r{J}^s}\}$ of complete ${\ma…