3 citations · 5 across the 4 of their papers we have counts for
4 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…
Restricting linear syzygies: algebra and geometry
David Eisenbud, Mark Green, Klaus Hulek +1
In this paper we derive geometric consequences from the presence of a long strand of linear syzygies in the minimal free resolution of a closed scheme in projective space whose hom…
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…