176 citations · 512 across the 54 of their papers we have counts for
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math.AC2011★ 5 cited
Decomposition of semigroup algebras
Janko Boehm, David Eisenbud, Max Joachim Nitsche
Let A \subseteq B be cancellative abelian semigroups, and let R be an integral domain. We show that the semigroup ring R[B] can be decomposed, as an R[A]-module, into a direct sum…
math.AG2011★ 4 cited
The Banks of the Cohomology River
David Eisenbud, Frank-Olaf Schreyer
We give sharp bounds on the vanishing of the cohomology of a tensor product of vector bundles on the n-dimensional projective space in terms of the vanishing of the cohomology of t…
math.AG2011★ 19 cited
Betti Numbers of Syzygies and Cohomology of Coherent Sheaves
David Eisenbud, Frank-Olaf Schreyer
The Betti numbers of a graded module over the polynomial ring form a table of numerical invariants that refines the Hilbert polynomial. A sequence of papers sparked by conjectures…