58 citations · 399 across the 82 of their papers we have counts for
4 papers · 2 filters
Monomial ideals, almost complete intersections and the Weak Lefschetz Property
Juan C. Migliore, Rosa M. Miro-Roig, Uwe Nagel
Many algebras are expected to have the Weak Lefschetz property though this is often very difficult to establish. We illustrate the subtlety of the problem by studying monomial and…
Properties of Koszul homology modules
Uwe Nagel, Tony J. Puthenpurakal
We investigate various module-theoretic properties of Koszul homology under mild conditions. These include their depth, -property and their Bass numbers
Properties of cut ideals associated to ring graphs
Uwe Nagel, Sonja Petrović
A cut ideal of a graph records the relations among the cuts of the graph. These toric ideals have been introduced by Sturmfels and Sullivant who also posed the problem of relating…
Bounds and asymptotic minimal growth for Gorenstein Hilbert functions
Juan C. Migliore, Uwe Nagel, Fabrizio Zanello
We determine new bounds on the entries of Gorenstein Hilbert functions, both in any fixed codimension and asymptotically. Our first main theorem is a lower bound for the degree $i+…