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math.AG2010
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…
math.AG2005★ 50 cited
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…
math.AG2003★ 3 cited
Syzygies of projective toric varieties
Hal Schenck, Gregory G. Smith
This paper has been subsumed by math.AG/0502240