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math.AC2004★ 1 cited
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…
math.AG2004
Small schemes and varieties of minimal degree
David Eisenbud, Mark Green, Klaus Hulek +1
We prove that if X is any 2-regular projective scheme (in the sense of Castelnuovo-Mumford) then X is "small". This means that if L is a linear space and Y:= L\cap X is finite, the…