50 citations · 54 across the 5 of their papers we have counts for
5 papers
Betti tables forcing failure of the Weak Lefschetz Property
Sean Grate, Hal Schenck
We study the Artinian reduction of a configuration of points , and the relation of the geometry of to Lefschetz properties of . Migliore initia…
Free resolutions and Lefschetz properties of some Artin Gorenstein rings of codimension four
Nancy Abdallah, Hal Schenck
In 1978, Stanley constructed an example of an Artinian Gorenstein (AG) ring with non-unimodal -vector . Migliore-Zanello later showed that for regularity $r=…
High rank linear syzygies on low rank quadrics
Hal Schenck, Mike Stillman
We study the linear syzygies of a homogeneous ideal I in a polynomial ring S, focusing on the graded betti numbers b_(i,i+1) = dim_k Tor_i(S/I, k)_(i+1). For a variety X and diviso…
Syzygies, multigraded regularity and toric varieties
Milena Hering, Hal Schenck, Gregory G. Smith
Using multigraded Castelnuovo-Mumford regularity, we study the equations defining a projective embedding of a variety X. Given globally generated line bundles B_1, ..., B_k on X an…
Syzygies of projective toric varieties
Hal Schenck, Gregory G. Smith
This paper has been subsumed by math.AG/0502240