Local cohomology and Segre products

Abstract

We prove a Künneth formula for local cohomology of a Segré product of graded modules supported in a Segré product of ideals. In order to apply our formula to the study of cohomological dimension, we also investigate asymptotic behaviors of Eulerian graded $\scr{D}$-modules.

arXiv commenta new section on graded $D$-modules added; previous results on cohomological dimension improved; typos corrected; comments welcome