4 citations · 7 across the 4 of their papers we have counts for
5 papers
Foundations of Boij-Söderberg Theory for Grassmannians
Nic Ford, Jake Levinson
Boij-Söderberg theory characterizes syzygies of graded modules and sheaves on projective space. This paper continues earlier work with S. Sam, extending the theory to the setting o…
Green-to-Red Sequences for Positroids
Nicolas Ford, Khrystyna Serhiyenko
Le-diagrams are combinatorial objects that parametrize cells of the totally nonnegative Grassmannian, called positroid cells, and each Le-diagram gives rise to a cluster algebra wh…
Towards Boij-Söderberg theory for Grassmannians: the case of square matrices
Nicolas Ford, Jake Levinson, Steven V Sam
We characterize the cone of GL-equivariant Betti tables of Cohen-Macaulay modules of codimension 1, up to rational multiple, over the coordinate ring of square matrices. This resul…
Geometric Shifts and Positroid Varieties
Nicolas Ford
Matroid varieties are the closures in the Grassmannian of sets of points defined by specifying which Plücker coordinates vanish and which don't --- the set of nonvanishing Plücker…
The Expected Codimension of a Matroid Variety
Nicolas Ford
Matroid varieties are the closures in the Grassmannian of sets of points defined by specifying which Plücker coordinates vanish and which don't. In general these varieties are very…