The Regularity of Tor and Graded Betti Numbers

David Eisenbud, Craig Huneke, Bernd Ulrich

Let S=K[x_1,..., x_n], let A,B be finitely generated graded S-modules, and let m=(x_1,...,x_n). We give bounds for the Castelnuovo-Mumford regularity of the local cohomology of Tor…