89 citations · 104 across the 14 of their papers we have counts for
5 papers · 1 filter
Prolongations and computational algebra
Jessica Sidman, Seth Sullivant
We explore the geometric notion of prolongations in the setting of computational algebra, extending results of Landsberg and Manivel which relate prolongations to equations for sec…
Combinatorial symbolic powers
Seth Sullivant
Symbolic powers are studied in the combinatorial context of monomial ideals. When the ideals are generated by quadratic squarefree monomials, the generators of the symbolic powers…
Toric geometry of cuts and splits
Bernd Sturmfels, Seth Sullivant
Associated to any graph is a toric ideal whose generators record relations among the cuts of the graph. We study these ideals and the geometry of the corresponding toric varieties.…
Sequential importance sampling for multiway tables
Yuguo Chen, Ian H. Dinwoodie, Seth Sullivant
We describe an algorithm for the sequential sampling of entries in multiway contingency tables with given constraints. The algorithm can be used for computations in exact condition…
Toric fiber products
Seth Sullivant
We introduce and study the toric fiber product of two ideals in polynomial rings that are homogeneous with respect to the same multigrading. Under the assumption that the set of de…