27 citations · 91 across the 18 of their papers we have counts for
Showing 2011 · math.ACShow all
2 papers · 2 filters
math.AC2011★ 14 cited
The cone of Betti diagrams over a hypersurface ring of low embedding dimension
Christine Berkesch, Jesse Burke, Daniel Erman +1
We give a complete description of the cone of Betti diagrams over a standard graded hypersurface ring of the form k[x,y]/<q>, where q is a homogeneous quadric. We also provide a fi…
math.AC2011★ 10 cited
Shapes of free resolutions over a local ring
Christine Berkesch, Daniel Erman, Manoj Kummini +1
We classify the possible shapes of minimal free resolutions over a regular local ring. This illustrates the existence of free resolutions whose Betti numbers behave in surprisingly…