2 citations · 5 across the 8 of their papers we have counts for
3 papers · 1 filter
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…
Sheaf Cohomolog and Free Resolutions over Exterior Algebras
David Eisenbud, Frank-Olaf Schreyer
In this paper we derive an explicit version of the Bernstein-Gel'fand-Gel'fand (BGG) correspondence between bounded complexes of coherent sheaves on projective space and minimal do…
Cohomology on Toric Varieties and Local Cohomology with Monomial Supports
David Eisenbud, Mircea Mustata, Mike Stillman
We study the local cohomology modules H^i_B(R) for a reduced monomial ideal B in a polynomial ring R=k[X_1,...,X_n]. We consider a grading on R which is coarser than the Z^n-gradin…