2 citations · 5 across the 8 of their papers we have counts for
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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…
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…
A Fitting Lemma for Z/2-graded modules
David Eisenbud, Jerzy Weyman
We study the annihilator of the cokernel of a map of free Z/2-graded modules over a Z/2-graded skew-commutative algebra in characteristic 0 and define analogues of its Fitting idea…
Resultants and Chow forms via Exterior Syzygies
David Eisenbud, Frank-Olaf Schreyer
Given a sheaf on a projective space P^n we define a sequence of canonical and easily computable Chow complexes on the Grassmannians of planes in P^n, generalizing the Beilinson mon…
Exterior algebra methods for the Minimal Resolution Conjecture
David Eisenbud, Sorin Popescu, Frank-Olaf Schreyer +1
If r\geq 6, r\neq 9, we show that the Minimal Resolution Conjecture fails for a general set of m points in P^r for almost 1/2\sqrt r values of m. This strengthens the result of Eis…