2 papers
math.AC2026
A Linear Bound on the Projective Dimension of Height 3 Quadratic Ideals
Zachary Greif, Paolo Mantero, Jason McCullough
In 2016, Ananyan and Hochster gave the first proof of a positive answer to Stillman's Question, which asked for a bound on the projective dimension of a graded polynomial ideal pur…
math.AC2019
Green-Lazarsfeld Condition for Toric Edge Ideals of Bipartite Graphs
Zachary Greif, Jason McCullough
Previously, Ohsugi and Hibi gave a combinatorial description of bipartite graphs whose toric edge ideal is generated by quadrics, showing that every cycle of of lengt…