2 citations · 5 across the 8 of their papers we have counts for
17 papers
Relative Beilinson Monad and Direct Image for Families of Coherent Sheaves
David Eisenbud, Frank-Olaf Schreyer
The higher direct image complex of a coherent sheaf (or finite complex of coherent sheaves) under a projective morphism is a fundamental construction that can be defined via a Cech…
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…
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…
A note on the Intersection of Veronese Surfaces
David Eisenbud, Klaus Hulek, Sorin Popescu
Motivated by our study (elsewhere) of linear syzygies of homogeneous ideals generated by quadrics and their restrictions to subvarieties of the ambient projective space, we investi…
What is the Rees Algebra of a Module?
David Eisenbud, Craig Huneke, Bernd Ulrich
In this paper we show that the Rees algebra can be made into a functor on modules over a ring in a way that extends its classical definition for ideals. The Rees algebra of a modul…
A Simple Proof of some Generalized Principal Ideal Theorems
David Eisenbud, Craig Huneke, Bernd Ulrich
Using symmetric algebras we simplify (and slightly strengthen) the Bruns-Eisenbud-Evans "generalized principal ideal theorem" on the height of order ideals of non-minimal generator…